Factor by Grouping x^3-4x^2+7x-28

$x^{3} - 4 x^{2} + 7 x - 28$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{3} - 4 x^{2}) + 7 x - 28$

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $x - 4$ .

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