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