Factor
\left(u+2\right)\left(u^{2}+6\right)
Evaluate
\left(u+2\right)\left(u^{2}+6\right)
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u^{2}\left(u+2\right)+6\left(u+2\right)
Do the grouping u^{3}+2u^{2}+6u+12=\left(u^{3}+2u^{2}\right)+\left(6u+12\right), and factor out u^{2} in the first and 6 in the second group.
\left(u+2\right)\left(u^{2}+6\right)
Factor out common term u+2 by using distributive property. Polynomial u^{2}+6 is not factored since it does not have any rational roots.
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