Algebra Examples

$(4 b^{2} - 64) \div (- 4 b + 16)$

Step 1

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

$4 b$

$16$

$4 b^{2}$

$0 b$

$64$

Step 2

Divide the highest order term in the dividend $4 b^{2}$ by the highest order term in divisor $- 4 b$ .

				-	$b$
-	$4 b$	+	$16$		$4 b^{2}$	+	$0 b$	-	$64$

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 $4 b^{2} - 16 b$

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 $16 b$ by the highest order term in divisor $- 4 b$ .

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 $16 b - 64$

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.

$- b - 4$