# How do you factor the polynomials a^2-4a-24+6a?

Nov 21, 2016

${a}^{2} - 4 a - 24 + 6 a = \left(a + 6\right) \left(a - 4\right)$

#### Explanation:

This factors by grouping if we swap a couple of the terms:

${a}^{2} - 4 a - 24 + 6 a = \left({a}^{2} - 4 a\right) + \left(6 a - 24\right)$

$\textcolor{w h i t e}{{a}^{2} - 4 a - 24 + 6 a} = a \left(a - 4\right) + 6 \left(a - 4\right)$

$\textcolor{w h i t e}{{a}^{2} - 4 a - 24 + 6 a} = \left(a + 6\right) \left(a - 4\right)$