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