Factor
\left(x-4\right)\left(2x^{2}+3\right)
Evaluate
\left(x-4\right)\left(2x^{2}+3\right)
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2x^{2}\left(x-4\right)+3\left(x-4\right)
Do the grouping 2x^{3}-8x^{2}+3x-12=\left(2x^{3}-8x^{2}\right)+\left(3x-12\right), and factor out 2x^{2} in the first and 3 in the second group.
\left(x-4\right)\left(2x^{2}+3\right)
Factor out common term x-4 by using distributive property. Polynomial 2x^{2}+3 is not factored since it does not have any rational roots.
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