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4\left(x^{7}+5x^{5}+2x^{4}\right)
Factor out 4.
x^{4}\left(x^{3}+5x+2\right)
Consider x^{7}+5x^{5}+2x^{4}. Factor out x^{4}.
4x^{4}\left(x^{3}+5x+2\right)
Rewrite the complete factored expression. Polynomial x^{3}+5x+2 is not factored since it does not have any rational roots.