Factor
\left(2x-1\right)\left(x^{2}+2\right)
Evaluate
\left(2x-1\right)\left(x^{2}+2\right)
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x^{2}\left(2x-1\right)+2\left(2x-1\right)
Do the grouping 2x^{3}-x^{2}+4x-2=\left(2x^{3}-x^{2}\right)+\left(4x-2\right), and factor out x^{2} in the first and 2 in the second group.
\left(2x-1\right)\left(x^{2}+2\right)
Factor out common term 2x-1 by using distributive property. Polynomial x^{2}+2 is not factored since it does not have any rational roots.
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