Algebra Examples

$\frac{4 x^{19} + x^{2} + 5 x + 9}{x - 1}$

Step 1

To calculate the remainder, first divide the polynomials.

Tap for more steps...

Step 1.1

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of $0$ .

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

Step 1.2

Divide the highest order term in the dividend $4 x^{19}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

Step 1.3

Multiply the new quotient term by the divisor.

$4 x^{18}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

Step 1.4

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{19} - 4 x^{18}$

$4 x^{18}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

Step 1.5

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

Step 1.6

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

Step 1.7

Divide the highest order term in the dividend $4 x^{18}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

Step 1.8

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

Step 1.9

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{18} - 4 x^{17}$

$4 x^{18}$

$4 x^{17}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

Step 1.10

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

Step 1.11

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

Step 1.12

Divide the highest order term in the dividend $4 x^{17}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

Step 1.13

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

Step 1.14

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{17} - 4 x^{16}$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

Step 1.15

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

Step 1.16

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

Step 1.17

Divide the highest order term in the dividend $4 x^{16}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

Step 1.18

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

Step 1.19

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{16} - 4 x^{15}$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

Step 1.20

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

Step 1.21

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

Step 1.22

Divide the highest order term in the dividend $4 x^{15}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

Step 1.23

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

Step 1.24

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{15} - 4 x^{14}$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

Step 1.25

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

Step 1.26

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

Step 1.27

Divide the highest order term in the dividend $4 x^{14}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

Step 1.28

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

Step 1.29

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{14} - 4 x^{13}$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

Step 1.30

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

Step 1.31

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

Step 1.32

Divide the highest order term in the dividend $4 x^{13}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

Step 1.33

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

Step 1.34

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{13} - 4 x^{12}$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

Step 1.35

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

Step 1.36

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

Step 1.37

Divide the highest order term in the dividend $4 x^{12}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

Step 1.38

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

Step 1.39

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{12} - 4 x^{11}$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

Step 1.40

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

Step 1.41

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

Step 1.42

Divide the highest order term in the dividend $4 x^{11}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

Step 1.43

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

Step 1.44

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{11} - 4 x^{10}$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

Step 1.45

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

Step 1.46

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

Step 1.47

Divide the highest order term in the dividend $4 x^{10}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

Step 1.48

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

Step 1.49

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{10} - 4 x^{9}$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

Step 1.50

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

Step 1.51

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

Step 1.52

Divide the highest order term in the dividend $4 x^{9}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

Step 1.53

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

Step 1.54

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{9} - 4 x^{8}$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

Step 1.55

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

Step 1.56

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

Step 1.57

Divide the highest order term in the dividend $4 x^{8}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

Step 1.58

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

Step 1.59

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{8} - 4 x^{7}$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

Step 1.60

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

Step 1.61

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

Step 1.62

Divide the highest order term in the dividend $4 x^{7}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

Step 1.63

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

Step 1.64

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{7} - 4 x^{6}$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

Step 1.65

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

Step 1.66

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

Step 1.67

Divide the highest order term in the dividend $4 x^{6}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

Step 1.68

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

Step 1.69

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{6} - 4 x^{5}$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

Step 1.70

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

Step 1.71

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

Step 1.72

Divide the highest order term in the dividend $4 x^{5}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

Step 1.73

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

Step 1.74

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{5} - 4 x^{4}$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

Step 1.75

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

Step 1.76

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

Step 1.77

Divide the highest order term in the dividend $4 x^{4}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

Step 1.78

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

Step 1.79

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{4} - 4 x^{3}$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

Step 1.80

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

Step 1.81

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$x^{2}$

Step 1.82

Divide the highest order term in the dividend $4 x^{3}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$x^{2}$

Step 1.83

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$x^{2}$

$4 x^{3}$

$4 x^{2}$

Step 1.84

The expression needs to be subtracted from the dividend, so change all the signs in $4 x^{3} - 4 x^{2}$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$x^{2}$

$4 x^{3}$

$4 x^{2}$

Step 1.85

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$x^{2}$

$4 x^{3}$

$4 x^{2}$

$5 x^{2}$

Step 1.86

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$x^{2}$

$4 x^{3}$

$4 x^{2}$

$5 x^{2}$

$5 x$

Step 1.87

Divide the highest order term in the dividend $5 x^{2}$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$5 x$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$x^{2}$

$4 x^{3}$

$4 x^{2}$

$5 x^{2}$

$5 x$

Step 1.88

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$5 x$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$x^{2}$

$4 x^{3}$

$4 x^{2}$

$5 x^{2}$

$5 x$

$5 x^{2}$

$5 x$

Step 1.89

The expression needs to be subtracted from the dividend, so change all the signs in $5 x^{2} - 5 x$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$5 x$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$x^{2}$

$4 x^{3}$

$4 x^{2}$

$5 x^{2}$

$5 x$

$5 x^{2}$

$5 x$

Step 1.90

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$5 x$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$x^{2}$

$4 x^{3}$

$4 x^{2}$

$5 x^{2}$

$5 x$

$5 x^{2}$

$5 x$

$10 x$

Step 1.91

Pull the next terms from the original dividend down into the current dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$5 x$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$x^{2}$

$4 x^{3}$

$4 x^{2}$

$5 x^{2}$

$5 x$

$5 x^{2}$

$5 x$

$10 x$

$9$

Step 1.92

Divide the highest order term in the dividend $10 x$ by the highest order term in divisor $x$ .

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$5 x$

$10$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$x^{2}$

$4 x^{3}$

$4 x^{2}$

$5 x^{2}$

$5 x$

$5 x^{2}$

$5 x$

$10 x$

$9$

Step 1.93

Multiply the new quotient term by the divisor.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$5 x$

$10$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$x^{2}$

$4 x^{3}$

$4 x^{2}$

$5 x^{2}$

$5 x$

$5 x^{2}$

$5 x$

$10 x$

$9$

$10 x$

$10$

Step 1.94

The expression needs to be subtracted from the dividend, so change all the signs in $10 x - 10$

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$5 x$

$10$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$x^{2}$

$4 x^{3}$

$4 x^{2}$

$5 x^{2}$

$5 x$

$5 x^{2}$

$5 x$

$10 x$

$9$

$10 x$

$10$

Step 1.95

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

$4 x^{18}$

$4 x^{17}$

$4 x^{16}$

$4 x^{15}$

$4 x^{14}$

$4 x^{13}$

$4 x^{12}$

$4 x^{11}$

$4 x^{10}$

$4 x^{9}$

$4 x^{8}$

$4 x^{7}$

$4 x^{6}$

$4 x^{5}$

$4 x^{4}$

$4 x^{3}$

$4 x^{2}$

$5 x$

$10$

$x$

$1$

$4 x^{19}$

$0 x^{18}$

$0 x^{17}$

$0 x^{16}$

$0 x^{15}$

$0 x^{14}$

$0 x^{13}$

$0 x^{12}$

$0 x^{11}$

$0 x^{10}$

$0 x^{9}$

$0 x^{8}$

$0 x^{7}$

$0 x^{6}$

$0 x^{5}$

$0 x^{4}$

$0 x^{3}$

$x^{2}$

$5 x$

$9$

$4 x^{19}$

$4 x^{18}$

$0 x^{17}$

$4 x^{18}$

$4 x^{17}$

$0 x^{16}$

$4 x^{17}$

$4 x^{16}$

$0 x^{15}$

$4 x^{16}$

$4 x^{15}$

$0 x^{14}$

$4 x^{15}$

$4 x^{14}$

$0 x^{13}$

$4 x^{14}$

$4 x^{13}$

$0 x^{12}$

$4 x^{13}$

$4 x^{12}$

$0 x^{11}$

$4 x^{12}$

$4 x^{11}$

$0 x^{10}$

$4 x^{11}$

$4 x^{10}$

$0 x^{9}$

$4 x^{10}$

$4 x^{9}$

$0 x^{8}$

$4 x^{9}$

$4 x^{8}$

$0 x^{7}$

$4 x^{8}$

$4 x^{7}$

$0 x^{6}$

$4 x^{7}$

$4 x^{6}$

$0 x^{5}$

$4 x^{6}$

$4 x^{5}$

$0 x^{4}$

$4 x^{5}$

$4 x^{4}$

$0 x^{3}$

$4 x^{4}$

$4 x^{3}$

$x^{2}$

$4 x^{3}$

$4 x^{2}$

$5 x^{2}$

$5 x$

$5 x^{2}$

$5 x$

$10 x$

$9$

$10 x$

$10$

$19$

Step 1.96

The final answer is the quotient plus the remainder over the divisor.

$4 x^{18} + 4 x^{17} + 4 x^{16} + 4 x^{15} + 4 x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 5 x + 10 + \frac{19}{x - 1}$

Step 2

Since the last term in the resulting expression is a fraction, the numerator of the fraction is the remainder.

$19$