Factor by Grouping 4x^3+3x^2+28x+21

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

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