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