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