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