Factor by Grouping 3x^3-21x^2+2x-14

$3 x^{3} - 21 x^{2} + 2 x - 14$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 x^{3} - 21 x^{2}) + 2 x - 14$

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

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

Step 2

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

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