Factor m^3-4m^2+6m-24

$m^{3} - 4 m^{2} + 6 m - 24$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(m^{3} - 4 m^{2}) + 6 m - 24$

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

$m^{2} (m - 4) + 6 (m - 4)$

Step 2

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

$(m - 4) (m^{2} + 6)$