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