# How do you factor 4ax^2 + 4ax -24a?

May 23, 2018

$4 a \left(x + 3\right) \left(x - 2\right)$

#### Explanation:

In order to fully factorize this polynomial, take out the largest term possible from each term. In this case, 4a is the largest term.

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

${x}^{2} + x - 6$ can also be factorized. We need to find two terms which:

When multiplied produces -6
$x + 3$ and $x - 2$
$4 a \left(x + 3\right) \left(x - 2\right)$