Factor
3x^{2}\left(2x^{3}+6x^{2}-1\right)
Evaluate
6x^{5}+18x^{4}-3x^{2}
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3\left(2x^{5}+6x^{4}-x^{2}\right)
Factor out 3.
x^{2}\left(2x^{3}+6x^{2}-1\right)
Consider 2x^{5}+6x^{4}-x^{2}. Factor out x^{2}.
3x^{2}\left(2x^{3}+6x^{2}-1\right)
Rewrite the complete factored expression. Polynomial 2x^{3}+6x^{2}-1 is not factored since it does not have any rational roots.
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