Factor
\left(r-5\right)\left(7r^{2}+6\right)
Evaluate
\left(r-5\right)\left(7r^{2}+6\right)
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7r^{2}\left(r-5\right)+6\left(r-5\right)
Do the grouping 7r^{3}-35r^{2}+6r-30=\left(7r^{3}-35r^{2}\right)+\left(6r-30\right), and factor out 7r^{2} in the first and 6 in the second group.
\left(r-5\right)\left(7r^{2}+6\right)
Factor out common term r-5 by using distributive property. Polynomial 7r^{2}+6 is not factored since it does not have any rational roots.
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