Factor
\left(3p-1\right)\left(p^{2}-2\right)
Evaluate
\left(3p-1\right)\left(p^{2}-2\right)
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p^{2}\left(3p-1\right)-2\left(3p-1\right)
Do the grouping 3p^{3}-p^{2}-6p+2=\left(3p^{3}-p^{2}\right)+\left(-6p+2\right), and factor out p^{2} in the first and -2 in the second group.
\left(3p-1\right)\left(p^{2}-2\right)
Factor out common term 3p-1 by using distributive property. Polynomial p^{2}-2 is not factored since it does not have any rational roots.
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