Factor by Grouping 12p^3-21p^2+28p-49

$12 p^{3} - 21 p^{2} + 28 p - 49$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(12 p^{3} - 21 p^{2}) + 28 p - 49$

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

$3 p^{2} (4 p - 7) + 7 (4 p - 7)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $4 p - 7$ .

$(4 p - 7) (3 p^{2} + 7)$