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