Solve the Polynomial Equation $$3 x ^ { 4 } - 17 x ^ { 3 } + 61 x ^ { 2 } - 73 x + 26 = 0$$

Multiple Choice

Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational
roots.
- $$3 x ^ { 4 } - 17 x ^ { 3 } + 61 x ^ { 2 } - 73 x + 26 = 0$$

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