# How do you factor x^2-10x-24?

Mar 5, 2016

Factors are $\left(x - 12\right) \left(x + 2\right)$

#### Explanation:

To factorize $a {x}^{2} + b x + c = 0$, we split $a c$ into two factors, whose sum is $b$.

In the polynomial x^2−10x−24, the product is $- 24$ and hence such factors would be $- 12$ and $2$. Hence splitting middle term this way, we get

x^2−10x−24=x^2−12x+2x−24 i.e.

$x \left(x - 12\right) + 2 \left(x - 12\right)$ or

$\left(x - 12\right) \left(x + 2\right)$