Factor by Grouping 20x^3-28x^2+15x-21

$20 x^{3} - 28 x^{2} + 15 x - 21$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(20 x^{3} - 28 x^{2}) + 15 x - 21$

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

$4 x^{2} (5 x - 7) + 3 (5 x - 7)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $5 x - 7$ .

$(5 x - 7) (4 x^{2} + 3)$