Divide (2x+6)/(4x-12)

$\frac{2 x + 6}{4 x - 12}$

Step 1

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

$4 x$

$12$

$2 x$

$6$

Step 2

Divide the highest order term in the dividend $2 x$ by the highest order term in divisor $4 x$ .

					$\frac{1}{2}$
	$4 x$	-	$12$		$2 x$	+	$6$

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 $2 x - 6$

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.

$\frac{1}{2} + \frac{12}{4 x - 12}$