Factor
6x^{3}\left(x^{3}+x^{2}-5x+6\right)
Evaluate
6x^{3}\left(x^{3}+x^{2}-5x+6\right)
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6\left(x^{6}+x^{5}-5x^{4}+6x^{3}\right)
Factor out 6.
x^{3}\left(x^{3}+x^{2}-5x+6\right)
Consider x^{6}+x^{5}-5x^{4}+6x^{3}. Factor out x^{3}.
6x^{3}\left(x^{3}+x^{2}-5x+6\right)
Rewrite the complete factored expression. Polynomial x^{3}+x^{2}-5x+6 is not factored since it does not have any rational roots.
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