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

Jul 27, 2016

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

#### Explanation:

To factor an algebraic expression means to find the algebraic numbers which when multiplied together will yield the expression.

In this case the most obvious common factor is $2 x$. So you can rewrite the expression as a product of:

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

but you can factorise $\left({x}^{2} + x - 6\right)$ further into $\left(x + 3\right) \left(x - 2\right)$