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