Pre-Algebra Examples

$\frac{3 p - 6}{8 - p}$

Step 1

Reorder $8$ and $- p$ .

$\frac{3 p - 6}{- p + 8}$

Step 2

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

$p$

$8$

$3 p$

$6$

Step 3

Divide the highest order term in the dividend $3 p$ by the highest order term in divisor $- p$ .

				-	$3$
-	$p$	+	$8$		$3 p$	-	$6$

Step 4

Multiply the new quotient term by the divisor.

Step 5

The expression needs to be subtracted from the dividend, so change all the signs in $3 p - 24$

Step 6

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

Step 7

The final answer is the quotient plus the remainder over the divisor.

$- 3 + \frac{18}{- p + 8}$