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\frac{18x^{2}+13x^{4}-18x^{3}+174x^{2}}{6}
Factor out \frac{1}{6}.
x^{2}\left(192+13x^{2}-18x\right)
Consider 18x^{2}+13x^{4}-18x^{3}+174x^{2}. Factor out x^{2}.
\frac{x^{2}\left(13x^{2}-18x+192\right)}{6}
Rewrite the complete factored expression. Polynomial 13x^{2}-18x+192 is not factored since it does not have any rational roots.
32x^{2}+\frac{13}{6}x^{4}-3x^{3}
Combine 3x^{2} and 29x^{2} to get 32x^{2}.