Divide Using Long Polynomial Division (9x-4)÷(3x+2)

$(9 x - 4) \div (3 x + 2)$

Step 1

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

$3 x$

$2$

$9 x$

$4$

Step 2

Divide the highest order term in the dividend $9 x$ by the highest order term in divisor $3 x$ .

					$3$
	$3 x$	+	$2$		$9 x$	-	$4$

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 $9 x + 6$

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.

$3 - \frac{10}{3 x + 2}$