Factor 6v^3-16v^2+21v-56

$6 v^{3} - 16 v^{2} + 21 v - 56$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(6 v^{3} - 16 v^{2}) + 21 v - 56$

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

$2 v^{2} (3 v - 8) + 7 (3 v - 8)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 v - 8$ .

$(3 v - 8) (2 v^{2} + 7)$