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