Factor by Grouping 4x^3+2x^2-18x-9

$4 x^{3} + 2 x^{2} - 18 x - 9$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 x^{3} + 2 x^{2}) - 18 x - 9$

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

$2 x^{2} (2 x + 1) - 9 (2 x + 1)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $2 x + 1$ .

$(2 x + 1) (2 x^{2} - 9)$