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