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