# How do you factor -3ax^2p + 24pa + 6axp?

Sep 19, 2016

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

#### Explanation:

Always look for a common factor first, then look again.

$- 3 a {x}^{2} p + 24 p a + 6 a x p$

It is better to have the negative sign at the front rather than a $- {x}^{2}$ term inside the bracket.

=$- 3 a p \left({x}^{2} - 8 - 2 x\right) \text{ } \leftarrow$ re-arrange the terms

=$- 3 a p \left({x}^{2} - 2 x - 8\right) \text{ } \leftarrow$ find factors of 8 which differ by 2

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