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3\left(x^{2}+2x^{4}\right)
Factor out 3.
x^{2}\left(1+2x^{2}\right)
Consider x^{2}+2x^{4}. Factor out x^{2}.
3x^{2}\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.