Factor by Grouping 3x^2+8x+24x+64

$3 x^{2} + 8 x + 24 x + 64$

Step 1

Reorder terms.

$3 x^{2} + 24 x + 8 x + 64$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 x^{2} + 24 x) + 8 x + 64$

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

$3 x (x + 8) + 8 (x + 8)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $x + 8$ .

$(x + 8) (3 x + 8)$