Factor
\left(r+3\right)\left(15r^{2}+1\right)
Evaluate
\left(r+3\right)\left(15r^{2}+1\right)
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15r^{2}\left(r+3\right)+r+3
Do the grouping 15r^{3}+45r^{2}+r+3=\left(15r^{3}+45r^{2}\right)+\left(r+3\right), and factor out 15r^{2} in 15r^{3}+45r^{2}.
\left(r+3\right)\left(15r^{2}+1\right)
Factor out common term r+3 by using distributive property. Polynomial 15r^{2}+1 is not factored since it does not have any rational roots.
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