Factor by Grouping 24x^3-64x^2-21x+56

$24 x^{3} - 64 x^{2} - 21 x + 56$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(24 x^{3} - 64 x^{2}) - 21 x + 56$

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

$8 x^{2} (3 x - 8) - 7 (3 x - 8)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 x - 8$ .

$(3 x - 8) (8 x^{2} - 7)$