Factor by Grouping 3n^3-12n^2+2n-8

$3 n^{3} - 12 n^{2} + 2 n - 8$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 n^{3} - 12 n^{2}) + 2 n - 8$

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

$3 n^{2} (n - 4) + 2 (n - 4)$

Step 2

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

$(n - 4) (3 n^{2} + 2)$