Algebra Examples

$(5 x^{3} + 21 x^{2} - 16) \div (x + 4)$

Step 1

Place the numbers representing the divisor and the dividend into a division-like configuration.

$- 4$	$5$	$21$	$0$	$- 16$

Step 2

The first number in the dividend $(5)$ is put into the first position of the result area (below the horizontal line).

Step 3

Multiply the newest entry in the result $(5)$ by the divisor $(- 4)$ and place the result of $(- 20)$ under the next term in the dividend $(21)$ .

Step 4

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

Step 5

Multiply the newest entry in the result $(1)$ by the divisor $(- 4)$ and place the result of $(- 4)$ under the next term in the dividend $(0)$ .

Step 6

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

Step 7

Multiply the newest entry in the result $(- 4)$ by the divisor $(- 4)$ and place the result of $(16)$ under the next term in the dividend $(- 16)$ .

Step 8

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

Step 9

All numbers except the last become the coefficients of the quotient polynomial. The last value in the result line is the remainder.

$5 x^{2} + 1 x - 4$

Step 10

Simplify the quotient polynomial.

$5 x^{2} + x - 4$

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