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