# How do you factor x^2+11x+24?

May 7, 2015

${x}^{2} + 11 x + 24$

We're looking for $a$ and $b$ such that
$a + b = 11$ and $a \times b = 24$

A little thought comes up with $\left(a , b\right) = \left(3 , 8\right)$

and the factors are
$\left(x + 3\right) \left(x + 8\right)$

May 7, 2015

I'll try by solving it as a second degree equation as: