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