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\frac{2\left(3x^{5}-9x^{4}+7x^{2}\right)}{15}
Factor out \frac{2}{15}.
x^{2}\left(3x^{3}-9x^{2}+7\right)
Consider 3x^{5}-9x^{4}+7x^{2}. Factor out x^{2}.
\frac{2x^{2}\left(3x^{3}-9x^{2}+7\right)}{15}
Rewrite the complete factored expression. Polynomial 3x^{3}-9x^{2}+7 is not factored since it does not have any rational roots.