Factor
\left(x-3\right)\left(x^{3}-2\right)
Evaluate
\left(x-3\right)\left(x^{3}-2\right)
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x^{3}\left(x-3\right)-2\left(x-3\right)
Do the grouping x^{4}-3x^{3}-2x+6=\left(x^{4}-3x^{3}\right)+\left(-2x+6\right), and factor out x^{3} in the first and -2 in the second group.
\left(x-3\right)\left(x^{3}-2\right)
Factor out common term x-3 by using distributive property. Polynomial x^{3}-2 is not factored since it does not have any rational roots.
Examples
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