Question

factor the trinomial, if possible.\\(18w^3 + 15w^2 - 18w\\)

Explanation:

Step1: Factor out GCF

$18w^3 + 15w^2 - 18w = 3w(6w^2 + 5w - 6)$

Step2: Factor quadratic trinomial

Find two numbers: $9$ and $-4$, since $9 \times (-4) = -24$ and $9 + (-4) = 5$.
Rewrite middle term: $6w^2 + 9w - 4w - 6$
Group and factor: $3w(3w(2w + 3) - 2(2w + 3))$
Factor out $(2w+3)$: $3w(2w + 3)(3w - 2)$

Answer:

$3w(2w + 3)(3w - 2)$