Pre-Algebra Examples

$\frac{2 x - x + 3}{x - 1}$

Step 1

Subtract $x$ from $2 x$ .

$\frac{x + 3}{x - 1}$

Step 2

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

$x$

$1$

$x$

$3$

Step 3

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

					$1$
	$x$	-	$1$		$x$	+	$3$

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 $x - 1$

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.

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