Factor
\left(x-7\right)\left(3x^{2}+2\right)
Evaluate
\left(x-7\right)\left(3x^{2}+2\right)
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3x^{2}\left(x-7\right)+2\left(x-7\right)
Do the grouping 3x^{3}-21x^{2}+2x-14=\left(3x^{3}-21x^{2}\right)+\left(2x-14\right), and factor out 3x^{2} in the first and 2 in the second group.
\left(x-7\right)\left(3x^{2}+2\right)
Factor out common term x-7 by using distributive property. Polynomial 3x^{2}+2 is not factored since it does not have any rational roots.
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