Precalculus Examples

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

Step 1

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

$x$

$1$

$4 x$

$0$

Step 2

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

					$4$
	$x$	+	$1$		$4 x$	+	$0$

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 $4 x + 4$

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.

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