Divide Using Long Polynomial Division (100x-10000)÷(x-140)

$(100 x - 10000) \div (x - 140)$

Step 1

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

$x$

$140$

$100 x$

$10000$

Step 2

Divide the highest order term in the dividend $100 x$ by the highest order term in divisor $x$ .

					$100$
	$x$	-	$140$		$100 x$	-	$10000$

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 $100 x - 14000$

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.

$100 + \frac{4000}{x - 140}$