Algebra Examples

$\frac{35 x - 35}{25 x - 40}$

Step 1

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

$25 x$

$40$

$35 x$

$35$

Step 2

Divide the highest order term in the dividend $35 x$ by the highest order term in divisor $25 x$ .

					$\frac{7}{5}$
	$25 x$	-	$40$		$35 x$	-	$35$

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 $35 x - 56$

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.

$\frac{7}{5} + \frac{21}{25 x - 40}$