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\frac{3x^{6}+27x^{5}+28x^{4}+6x^{3}+9x^{2}}{3}
Factor out \frac{1}{3}.
x^{2}\left(3x^{4}+27x^{3}+28x^{2}+6x+9\right)
Consider 3x^{6}+27x^{5}+28x^{4}+6x^{3}+9x^{2}. Factor out x^{2}.
\frac{x^{2}\left(3x^{4}+27x^{3}+28x^{2}+6x+9\right)}{3}
Rewrite the complete factored expression. Polynomial 3x^{4}+27x^{3}+28x^{2}+6x+9 is not factored since it does not have any rational roots.