# How do you factor -2x^3 - 2x^2 + 12x?

Jul 27, 2017

$- 2 x \left(x + 3\right) \left(x - 2\right)$

#### Explanation:

$- 2 {x}^{3} - 2 {x}^{2} + 12 x$

We remove the first factor that is common to all terms.

$- 2 x \left({x}^{2} + x - 6\right)$

We further factorise the terms in brackets.

$- 2 x \left({x}^{2} + 3 x - 2 x - 6\right)$

$- 2 x \left[x \left(x + 3\right) - 2 \left(x + 3\right)\right]$

$- 2 x \left(x + 3\right) \left(x - 2\right)$