Factor
\left(5w-3\right)\left(w^{2}+1\right)
Evaluate
\left(5w-3\right)\left(w^{2}+1\right)
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w^{2}\left(5w-3\right)+5w-3
Do the grouping 5w^{3}-3w^{2}+5w-3=\left(5w^{3}-3w^{2}\right)+\left(5w-3\right), and factor out w^{2} in 5w^{3}-3w^{2}.
\left(5w-3\right)\left(w^{2}+1\right)
Factor out common term 5w-3 by using distributive property. Polynomial w^{2}+1 is not factored since it does not have any rational roots.
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