Factor
\left(3b+4\right)\left(2b^{2}+3\right)
Evaluate
\left(3b+4\right)\left(2b^{2}+3\right)
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2b^{2}\left(3b+4\right)+3\left(3b+4\right)
Do the grouping 6b^{3}+8b^{2}+9b+12=\left(6b^{3}+8b^{2}\right)+\left(9b+12\right), and factor out 2b^{2} in the first and 3 in the second group.
\left(3b+4\right)\left(2b^{2}+3\right)
Factor out common term 3b+4 by using distributive property. Polynomial 2b^{2}+3 is not factored since it does not have any rational roots.
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