Factor by Grouping x^3+6x^2+4x+24

$x^{3} + 6 x^{2} + 4 x + 24$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

$x^{2} (x + 6) + 4 (x + 6)$

Factor the polynomial by factoring out the greatest common factor, $x + 6$ .

$(x + 6) (x^{2} + 4)$