How do you factor #y^3 + 7y^2 + y + 7?

1 Answer
May 9, 2015

${y}^{3} + 7 {y}^{2} + y + 7$

Group as
$\textcolor{red}{\left({y}^{3} + 7 {y}^{2}\right)} + \textcolor{b l u e}{\left(y + 7\right)}$

$= \textcolor{red}{\left({y}^{2}\right) \left(y + 7\right)} + \textcolor{b l u e}{\left(1\right) \left(y + 7\right)}$

$= \left({y}^{2} + 1\right) \left(y + 7\right)$