Factor
\left(2x+7\right)\left(x^{2}+1\right)
Evaluate
\left(2x+7\right)\left(x^{2}+1\right)
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x^{2}\left(2x+7\right)+2x+7
Do the grouping 2x^{3}+7x^{2}+2x+7=\left(2x^{3}+7x^{2}\right)+\left(2x+7\right), and factor out x^{2} in 2x^{3}+7x^{2}.
\left(2x+7\right)\left(x^{2}+1\right)
Factor out common term 2x+7 by using distributive property. Polynomial x^{2}+1 is not factored since it does not have any rational roots.
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