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9a^{3}+a^{2}+5a+8a^{2}+2a
Combine 2a^{3} and 7a^{3} to get 9a^{3}.
9a^{3}+9a^{2}+5a+2a
Combine a^{2} and 8a^{2} to get 9a^{2}.
9a^{3}+9a^{2}+7a
Combine 5a and 2a to get 7a.
a\left(9a^{2}+9a+7\right)
Factor out a. Polynomial 9a^{2}+9a+7 is not factored since it does not have any rational roots.