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