Factor by Grouping 3x^3-7x^2-6x+14

$3 x^{3} - 7 x^{2} - 6 x + 14$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 x^{3} - 7 x^{2}) - 6 x + 14$

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 x - 7$ .

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