Pre-Algebra Examples

$\frac{5 + 6 j}{6 + j}$

Step 1

Reorder $5$ and $6 j$ .

$\frac{6 j + 5}{6 + j}$

Step 2

Reorder $6$ and $j$ .

$\frac{6 j + 5}{j + 6}$

Step 3

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

$j$

$6$

$6 j$

$5$

Step 4

Divide the highest order term in the dividend $6 j$ by the highest order term in divisor $j$ .

					$6$
	$j$	+	$6$		$6 j$	+	$5$

Step 5

Multiply the new quotient term by the divisor.

Step 6

The expression needs to be subtracted from the dividend, so change all the signs in $6 j + 36$

Step 7

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

Step 8

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

$6 - \frac{31}{j + 6}$