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4\left(12x^{9}-2x^{5}+x^{3}\right)
Factor out 4.
x^{3}\left(12x^{6}-2x^{2}+1\right)
Consider 12x^{9}-2x^{5}+x^{3}. Factor out x^{3}.
4x^{3}\left(12x^{6}-2x^{2}+1\right)
Rewrite the complete factored expression. Polynomial 12x^{6}-2x^{2}+1 is not factored since it does not have any rational roots.