Evaluate
21x^{6}+15x^{4}+\frac{255x^{3}}{7}+x^{2}+20x+1
Factor
\frac{147x^{6}+105x^{4}+255x^{3}+7x^{2}+140x+7}{7}
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21x^{6}+36x^{3}+15x^{4}+x^{2}+15x+\frac{3}{7}x^{3}+5x+1
Combine 7x^{3} and 29x^{3} to get 36x^{3}.
21x^{6}+\frac{255}{7}x^{3}+15x^{4}+x^{2}+15x+5x+1
Combine 36x^{3} and \frac{3}{7}x^{3} to get \frac{255}{7}x^{3}.
21x^{6}+\frac{255}{7}x^{3}+15x^{4}+x^{2}+20x+1
Combine 15x and 5x to get 20x.
\frac{147x^{6}+49x^{3}+105x^{4}+203x^{3}+7x^{2}+105x+3x^{3}+35x+7}{7}
Factor out \frac{1}{7}. Polynomial 147x^{6}+105x^{4}+255x^{3}+7x^{2}+140x+7 is not factored since it does not have any rational roots.
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