Solve the Polynomial Equation $$3 x ^ { 3 } - 19 x ^ { 2 } + 30 x - 8 = 0$$

Multiple Choice

Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational
roots.
- $$3 x ^ { 3 } - 19 x ^ { 2 } + 30 x - 8 = 0$$

A) $\left\{ \frac { 1 } { 3 } , 2,4 \right\}$
B) $\left\{ - \frac { 1 } { 3 } , 2 , - 4 \right\}$
C) $\left\{ \frac { 4 } { 3 } , 1,2 \right\}$
D) $\left\{ - \frac { 4 } { 3 } , 1 , - 2 \right\}$