# How do you factor the expression x^2-4x-12?

Feb 15, 2016

${x}^{2} - 4 x - 12 = \left(x + 2\right) \left(x - 6\right)$

#### Explanation:

${x}^{2} - 4 x - 12$

Find two numbers that when added equal $- 4$, and when multiplied equal $- 12$. The numbers $2$ and $- 6$ fit the criteria.

Rewrite the trinomial in factored form.

$\left(x + 2\right) \left(x - 6\right)$