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\frac{2x^{3}-21x^{2}+72x}{6}
Factor out \frac{1}{6}.
x\left(2x^{2}-21x+72\right)
Consider 2x^{3}-21x^{2}+72x. Factor out x.
\frac{x\left(2x^{2}-21x+72\right)}{6}
Rewrite the complete factored expression. Polynomial 2x^{2}-21x+72 is not factored since it does not have any rational roots.