Solve the Polynomial Equation $$x ^ { 4 } - 3 x ^ { 3 } - 2 x ^ { 2 } + 32 x - 48 = 0$$

Multiple Choice

Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational
roots.
- $$x ^ { 4 } - 3 x ^ { 3 } - 2 x ^ { 2 } + 32 x - 48 = 0$$

A) $\{ - 3,2,2 + 2 i , 2 - 2 i \}$
B) $\{ 3 , - 2,2 + 2 i , 2 - 2 i \}$
C) $\{ - 3,2,2 + 3 i , 2 - 3 i \}$
D) $\{ 3 , - 2,2 + \sqrt { 2 } , 2 - \sqrt { 2 } \}$