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5\left(x^{5}-6x^{3}\right)
Factor out 5.
x^{3}\left(x^{2}-6\right)
Consider x^{5}-6x^{3}. Factor out x^{3}.
5x^{3}\left(x^{2}-6\right)
Rewrite the complete factored expression. Polynomial x^{2}-6 is not factored since it does not have any rational roots.