# What are the factors for 7t^3 + 15t^2 + 2t?

Apr 8, 2018

$7 {t}^{3} + 15 {t}^{2} + 2 t = t \left(t + 2\right) \left(7 t + 1\right)$

#### Explanation:

$7 {t}^{3} + 15 {t}^{2} + 2 t$

$= t \left(7 {t}^{2} + 15 t + 2\right)$

$= t \left(7 {t}^{2} + 14 t + t + 2\right)$

$= t \left[7 t \left(t + 2\right) + 1 \left(t + 2\right)\right]$

$= t \left(t + 2\right) \left(7 t + 1\right)$