Divide (5x+15)/(5x-15)

$\frac{5 x + 15}{5 x - 15}$

Step 1

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

$5 x$

$15$

$5 x$

$15$

Step 2

Divide the highest order term in the dividend $5 x$ by the highest order term in divisor $5 x$ .

					$1$
	$5 x$	-	$15$		$5 x$	+	$15$

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 $5 x - 15$

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.

$1 + \frac{30}{5 x - 15}$