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