## Algebra 1: Common Core (15th Edition)

$w(3w-2)(w^{2}+6)$
$3w^{4}-2w^{3}+18w^{2}-12w=$ ...factor out the GCF. $=w(3w^{3}-2w^{2}+18w-12)$ ...factor by grouping the first term with the third, and the second term with the last. $=w[3w(w^{2}+6)-2(w^{2}+6)]$ ...factor again. $=w(3w-2)(w^{2}+6)$