Factor by Grouping 2x^3+7x^2+12x+42

$2 x^{3} + 7 x^{2} + 12 x + 42$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(2 x^{3} + 7 x^{2}) + 12 x + 42$

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

$x^{2} (2 x + 7) + 6 (2 x + 7)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $2 x + 7$ .

$(2 x + 7) (x^{2} + 6)$