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\frac{3x^{4}+9x^{3}-8x^{2}-6x}{3}
Factor out \frac{1}{3}.
x\left(3x^{3}+9x^{2}-8x-6\right)
Consider 3x^{4}+9x^{3}-8x^{2}-6x. Factor out x.
\frac{x\left(3x^{3}+9x^{2}-8x-6\right)}{3}
Rewrite the complete factored expression. Polynomial 3x^{3}+9x^{2}-8x-6 is not factored since it does not have any rational roots.