Pre-Algebra Examples

$\frac{4 t}{t - 2}$

Step 1

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

$t$

$2$

$4 t$

$0$

Step 2

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

					$4$
	$t$	-	$2$		$4 t$	+	$0$

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 $4 t - 8$

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.

$4 + \frac{8}{t - 2}$