Pre-Algebra Examples

$\frac{x - 5}{9 - x}$

Step 1

Reorder $9$ and $- x$ .

$\frac{x - 5}{- x + 9}$

Step 2

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

$x$

$9$

$x$

$5$

Step 3

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

				-	$1$
-	$x$	+	$9$		$x$	-	$5$

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 $x - 9$

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.

$- 1 + \frac{4}{- x + 9}$