Divide Using Long Polynomial Division (n^2-2n-35)÷(n+5)

$(n^{2} - 2 n - 35) \div (n + 5)$

Step 1

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

$n$

$5$

$n^{2}$

$2 n$

$35$

Step 2

Divide the highest order term in the dividend $n^{2}$ by the highest order term in divisor $n$ .

					$n$
	$n$	+	$5$		$n^{2}$	-	$2 n$	-	$35$

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 $n^{2} + 5 n$

Step 5

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

Step 6

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

Step 7

Divide the highest order term in the dividend $- 7 n$ by the highest order term in divisor $n$ .

Step 8

Multiply the new quotient term by the divisor.

Step 9

The expression needs to be subtracted from the dividend, so change all the signs in $- 7 n - 35$

Step 10

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

Step 11

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

$n - 7$