# How do you factor x^3+10x^2+24x?

May 16, 2015

The answer is ${x}^{3} + 10 {x}^{2} + 24 x = x \left(x + 4\right) \left(x + 6\right)$.

Problem: Factor ${x}^{3} + 10 {x}^{2} + 24 x$.

Factor out $x$.

$x \left({x}^{2} + 10 x + 24\right)$

Factor ${x}^{2} + 10 x + 24$.

Find two numbers that when added equal 10, and when multiplied equal 24. Numbers $4$ and $6$ satisfy this requirement.

${x}^{2} + 10 x + 24 = \left(x + 4\right) \left(x + 6\right)$

${x}^{3} + 10 {x}^{2} + 24 = x \left(x + 4\right) \left(x + 6\right)$