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\frac{4x^{3}+8x^{2}-x^{10}}{4}
Factor out \frac{1}{4}.
x^{2}\left(4x+8-x^{8}\right)
Consider 4x^{3}+8x^{2}-x^{10}. Factor out x^{2}.
\frac{x^{2}\left(4x+8-x^{8}\right)}{4}
Rewrite the complete factored expression. Polynomial 4x+8-x^{8} is not factored since it does not have any rational roots.