# How do you factor 4q^4 + 12q?

Apr 16, 2018

$4 q \left({q}^{3} + 3\right)$

#### Explanation:

we need to take out common factors for each term

${q}^{4} + 12 q$

$h c f \left(4 , 12\right) = 4$

${q}^{4} + 12 q = \textcolor{red}{4} \left({q}^{4} + 3 q\right)$

$h c f \left({q}^{4} , q\right) = q$

${q}^{4} + 12 q = 4 \textcolor{red}{q} \left({q}^{3} + 3\right)$