Algebra Examples

$\frac{- 14 x^{2} - 66 x y - 76 y^{2}}{2 x + 4 y}$

Step 1

Move $- 66 x y$ .

$\frac{- 14 x^{2} - 76 y^{2} - 66 x y}{2 x + 4 y}$

Step 2

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

$2 x$

$4 y$

$14 x^{2}$

$66 x y$

$76 y^{2}$

Step 3

Divide the highest order term in the dividend $- 14 x^{2}$ by the highest order term in divisor $2 x$ .

				-	$7 x$
	$2 x$	+	$4 y$	-	$14 x^{2}$	-	$66 x y$	-	$76 y^{2}$

Step 4

Multiply the new quotient term by the divisor.

Step 5

The expression needs to be subtracted from the dividend, so change all the signs in $- 14 x^{2} - 28 x y$

Step 6

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

Step 7

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

Step 8

Divide the highest order term in the dividend $- 38 x y$ by the highest order term in divisor $2 x$ .

Step 9

Multiply the new quotient term by the divisor.

Step 10

The expression needs to be subtracted from the dividend, so change all the signs in $- 38 y x - 76 y^{2}$

Step 11

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

Step 12

Since the remander is $0$ , the final answer is the quotient.

$- 7 x - 19 y$