Factor
\left(11w-9\right)\left(w^{2}+1\right)
Evaluate
\left(11w-9\right)\left(w^{2}+1\right)
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w^{2}\left(11w-9\right)+11w-9
Do the grouping 11w^{3}-9w^{2}+11w-9=\left(11w^{3}-9w^{2}\right)+\left(11w-9\right), and factor out w^{2} in 11w^{3}-9w^{2}.
\left(11w-9\right)\left(w^{2}+1\right)
Factor out common term 11w-9 by using distributive property. Polynomial w^{2}+1 is not factored since it does not have any rational roots.
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