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3\left(9v^{2}+3v^{3}+v^{7}\right)
Factor out 3.
v^{2}\left(9+3v+v^{5}\right)
Consider 9v^{2}+3v^{3}+v^{7}. Factor out v^{2}.
3v^{2}\left(9+3v+v^{5}\right)
Rewrite the complete factored expression. Polynomial 9+3v+v^{5} is not factored since it does not have any rational roots.