Solve the Polynomial Equation $$x ^ { 3 } + 3 x ^ { 2 } + 4 x - 8 = 0$$

Multiple Choice

Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational
roots.
- $$x ^ { 3 } + 3 x ^ { 2 } + 4 x - 8 = 0$$

A) $\{ 1 , - 2 + 2 i , - 2 - 2 i \}$
B) $\{ 1,2 + 2 i , 2 - 2 i \}$
C) $\{ - 1 , - 2 + \sqrt { 5 } , - 4 - \sqrt { 5 } \}$
D) $\{ 1,2 + \sqrt { 5 } , 2 - \sqrt { 5 } \}$