# How do you factor F(x) = x^3 + x^2 + 4x + 4?

May 28, 2015

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

We can make groups of two to factorise this expression:
$\left({x}^{3} + {x}^{2}\right) + \left(4 x + 4\right)$

${x}^{2}$ is common to both the terms in the first group, and $4$ is common to both the terms in the second group

We can write the expression as :
${x}^{2} \left(x + 1\right) + 4 \left(x + 1\right)$
=color(green)((x^2 +4 )(x+1)#