Factor
\left(x-3\right)\left(4x^{2}-7\right)
Evaluate
\left(x-3\right)\left(4x^{2}-7\right)
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4x^{2}\left(x-3\right)-7\left(x-3\right)
Do the grouping 4x^{3}-12x^{2}-7x+21=\left(4x^{3}-12x^{2}\right)+\left(-7x+21\right), and factor out 4x^{2} in the first and -7 in the second group.
\left(x-3\right)\left(4x^{2}-7\right)
Factor out common term x-3 by using distributive property. Polynomial 4x^{2}-7 is not factored since it does not have any rational roots.
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