## Elementary Algebra

$x^{3}$ + 3$x^{2}$ - 10x - 24
(x + 4)($x^{2}$ - x - 6) = Use the distributive property. x($x^{2}$) + x(-x) + x(-6) + 4($x^{2}$) + 4(-x) + 4(-6) = $x^{3}$ - $x^{2}$ - 6x + 4$x^{2}$ - 4x - 24 = Simplify. $x^{3}$ + 3$x^{2}$ - 10x - 24