Divide Using Long Polynomial Division (80x-8000)÷(x-110)

$(80 x - 8000) \div (x - 110)$

Step 1

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

$x$

$110$

$80 x$

$8000$

Step 2

Divide the highest order term in the dividend $80 x$ by the highest order term in divisor $x$ .

					$80$
	$x$	-	$110$		$80 x$	-	$8000$

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 $80 x - 8800$

Step 5

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

Step 6

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

$80 + \frac{800}{x - 110}$