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