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4\left(3a^{5}+2a\right)
Factor out 4.
a\left(3a^{4}+2\right)
Consider 3a^{5}+2a. Factor out a.
4a\left(3a^{4}+2\right)
Rewrite the complete factored expression. Polynomial 3a^{4}+2 is not factored since it does not have any rational roots.