Factor
\left(5w+7\right)\left(w^{2}+6\right)
Evaluate
\left(5w+7\right)\left(w^{2}+6\right)
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w^{2}\left(5w+7\right)+6\left(5w+7\right)
Do the grouping 5w^{3}+7w^{2}+30w+42=\left(5w^{3}+7w^{2}\right)+\left(30w+42\right), and factor out w^{2} in the first and 6 in the second group.
\left(5w+7\right)\left(w^{2}+6\right)
Factor out common term 5w+7 by using distributive property. Polynomial w^{2}+6 is not factored since it does not have any rational roots.
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