Factor 4u^3+3u^2+28u+21

$4 u^{3} + 3 u^{2} + 28 u + 21$

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

$(4 u^{3} + 3 u^{2}) + 28 u + 21$

Factor out the greatest common factor (GCF) from each group.

$u^{2} (4 u + 3) + 7 (4 u + 3)$

Factor the polynomial by factoring out the greatest common factor, $4 u + 3$ .

$(4 u + 3) (u^{2} + 7)$

Factor 4u^3+3u^2+28u+21

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