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9\left(4n^{7}+3n^{5}+n^{4}\right)
Factor out 9.
n^{4}\left(4n^{3}+3n+1\right)
Consider 4n^{7}+3n^{5}+n^{4}. Factor out n^{4}.
9n^{4}\left(4n^{3}+3n+1\right)
Rewrite the complete factored expression. Polynomial 4n^{3}+3n+1 is not factored since it does not have any rational roots.