Divide Using Long Polynomial Division (-8x-10)÷(4x+5)

$(- 8 x - 10) \div (4 x + 5)$

Step 1

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

$4 x$

$5$

$8 x$

$10$

Step 2

Divide the highest order term in the dividend $- 8 x$ by the highest order term in divisor $4 x$ .

				-	$2$
	$4 x$	+	$5$	-	$8 x$	-	$10$

Step 3

Multiply the new quotient term by the divisor.

Step 4

The expression needs to be subtracted from the dividend, so change all the signs in $- 8 x - 10$

Step 5

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

Step 6

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

$- 2$