Divide Using Long Polynomial Division (110x-11000)÷(x-150)

$(110 x - 11000) \div (x - 150)$

Step 1

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

$x$

$150$

$110 x$

$11000$

Step 2

Divide the highest order term in the dividend $110 x$ by the highest order term in divisor $x$ .

					$110$
	$x$	-	$150$		$110 x$	-	$11000$

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 $110 x - 16500$

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.

$110 + \frac{5500}{x - 150}$