Factor
\left(x+6\right)\left(x^{2}+7\right)
Evaluate
\left(x+6\right)\left(x^{2}+7\right)
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x^{2}\left(x+6\right)+7\left(x+6\right)
Do the grouping x^{3}+6x^{2}+7x+42=\left(x^{3}+6x^{2}\right)+\left(7x+42\right), and factor out x^{2} in the first and 7 in the second group.
\left(x+6\right)\left(x^{2}+7\right)
Factor out common term x+6 by using distributive property. Polynomial x^{2}+7 is not factored since it does not have any rational roots.
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