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5\left(5x^{7}-2x^{5}+3x^{3}-x^{2}\right)
Factor out 5.
x^{2}\left(5x^{5}-2x^{3}+3x-1\right)
Consider 5x^{7}-2x^{5}+3x^{3}-x^{2}. Factor out x^{2}.
5x^{2}\left(5x^{5}-2x^{3}+3x-1\right)
Rewrite the complete factored expression. Polynomial 5x^{5}-2x^{3}+3x-1 is not factored since it does not have any rational roots.