Factor
\left(3x-2\right)\left(x^{2}-6\right)
Evaluate
\left(3x-2\right)\left(x^{2}-6\right)
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x^{2}\left(3x-2\right)-6\left(3x-2\right)
Do the grouping 3x^{3}-2x^{2}-18x+12=\left(3x^{3}-2x^{2}\right)+\left(-18x+12\right), and factor out x^{2} in the first and -6 in the second group.
\left(3x-2\right)\left(x^{2}-6\right)
Factor out common term 3x-2 by using distributive property. Polynomial x^{2}-6 is not factored since it does not have any rational roots.
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