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\frac{8}{3}x^{3}-\frac{5}{17}x^{2}+9x-\frac{1}{17}+\frac{7}{6}x^{3}+\frac{3}{34}x^{2}+\frac{5}{17}
Reduce the fraction \frac{2}{34} to lowest terms by extracting and canceling out 2.
\frac{23}{6}x^{3}-\frac{5}{17}x^{2}+9x-\frac{1}{17}+\frac{3}{34}x^{2}+\frac{5}{17}
Combine \frac{8}{3}x^{3} and \frac{7}{6}x^{3} to get \frac{23}{6}x^{3}.
\frac{23}{6}x^{3}-\frac{7}{34}x^{2}+9x-\frac{1}{17}+\frac{5}{17}
Combine -\frac{5}{17}x^{2} and \frac{3}{34}x^{2} to get -\frac{7}{34}x^{2}.
\frac{23}{6}x^{3}-\frac{7}{34}x^{2}+9x+\frac{4}{17}
Add -\frac{1}{17} and \frac{5}{17} to get \frac{4}{17}.
\frac{391x^{3}-21x^{2}+918x+24}{102}
Factor out \frac{1}{102}. Polynomial 391x^{3}-21x^{2}+918x+24 is not factored since it does not have any rational roots.