Divide Using Long Polynomial Division (27x^2-9a)/3

$\frac{27 x^{2} - 9 a}{3}$

Step 1

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

$3$

$27 x^{2}$

$0 x$

$9 a$

Step 2

Divide the highest order term in the dividend $27 x^{2}$ by the highest order term in divisor $3$ .

			$9 x^{2}$
	$3$		$27 x^{2}$	+	$0 x$	-	$9 a$

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 $27 x^{2}$

Step 5

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

Step 6

Pull the next terms from the original dividend down into the current dividend.

Step 7

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

$9 x^{2} + \frac{- 9 a}{3}$