Divide Using Long Polynomial Division (a^2-64)/(a-8)

$\frac{a^{2} - 64}{a - 8}$

Step 1

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

$a$

$8$

$a^{2}$

$0 a$

$64$

Step 2

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

					$a$
	$a$	-	$8$		$a^{2}$	+	$0 a$	-	$64$

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 $a^{2} - 8 a$

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 $8 a$ by the highest order term in divisor $a$ .

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 $8 a - 64$

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.

$a + 8$