Factor by Grouping 3x^3+7x^2+18x+42

$3 x^{3} + 7 x^{2} + 18 x + 42$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 x^{3} + 7 x^{2}) + 18 x + 42$

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

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

Step 2

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

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