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