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