Pre-Algebra Examples

$(- 18 x^{3} + 17 x + 6) \div (3 x + 2)$

Step 1

Rewrite the division as a fraction.

$\frac{- 18 x^{3} + 17 x + 6}{3 x + 2}$

Step 2

Factor $- 1$ out of $- 18 x^{3}$ .

$\frac{- (18 x^{3}) + 17 x + 6}{3 x + 2}$

Step 3

Factor $- 1$ out of $17 x$ .

$\frac{- (18 x^{3}) - (- 17 x) + 6}{3 x + 2}$

Step 4

Factor $- 1$ out of $- (18 x^{3}) - (- 17 x)$ .

$\frac{- (18 x^{3} - 17 x) + 6}{3 x + 2}$

Step 5

Rewrite $6$ as $- 1 (- 6)$ .

$\frac{- (18 x^{3} - 17 x) - 1 (- 6)}{3 x + 2}$

Step 6

Factor $- 1$ out of $- (18 x^{3} - 17 x) - 1 (- 6)$ .

$\frac{- (18 x^{3} - 17 x - 6)}{3 x + 2}$

Step 7

Simplify the expression.

Tap for more steps...

Step 7.1

Rewrite $- (18 x^{3} - 17 x - 6)$ as $- 1 (18 x^{3} - 17 x - 6)$ .

$\frac{- 1 (18 x^{3} - 17 x - 6)}{3 x + 2}$

Step 7.2

Move the negative in front of the fraction.

$- \frac{18 x^{3} - 17 x - 6}{3 x + 2}$