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2\left(3x^{4}-2x^{6}\right)
Factor out 2.
x^{4}\left(3-2x^{2}\right)
Consider 3x^{4}-2x^{6}. Factor out x^{4}.
2x^{4}\left(3-2x^{2}\right)
Rewrite the complete factored expression. Polynomial 3-2x^{2} is not factored since it does not have any rational roots.