How do you factor the expression d^3 + d^2 + 3d + 3?

Dec 10, 2015

$\left(d + 1\right) \left({d}^{2} + 3\right)$

Explanation:

Factor by grouping.

$\textcolor{b l u e}{{d}^{3} + {d}^{2}} + \textcolor{red}{3 d + 3}$

$\textcolor{b l u e}{{d}^{2} \left(d + 1\right)} + \textcolor{red}{3 \left(d + 1\right)}$

Factor a $\left(d + 1\right)$ term out.

$\left(d + 1\right) \left({d}^{2} + 3\right)$