Algebra Examples

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

Step 1

Reorder $9$ and $- x^{2}$ .

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

Step 2

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

$3 x$

$0$

$x^{2}$

$0 x$

$9$

Step 3

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

				-	$\frac{x}{3}$
	$3 x$	+	$0$	-	$x^{2}$	+	$0 x$	+	$9$

Step 4

Multiply the new quotient term by the divisor.

Step 5

The expression needs to be subtracted from the dividend, so change all the signs in $- x^{2} + 0$

Step 6

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

Step 7

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

Step 8

The quotient is $- \frac{x}{3}$ .

$- \frac{x}{3}$