Use the Factor Theorem to Show That $\left( x + \frac { 2 } { 3 } \right)$

Essay

Use the Factor Theorem to show that $\left( x + \frac { 2 } { 3 } \right)$ is a factor of the polynomial $P ( x ) = x ^ { 3 } + \frac { 7 } { 6 } x ^ { 2 } - \frac { 1 } { 6 } x - \frac { 1 } { 3 }$ .