Solve the Polynomial Equation in the Complex Numbers $$x ^ { 4 } + 5 x ^ { 3 } - 2 x ^ { 2 } - 18 x - 12 = 0$$

Multiple Choice

Solve the polynomial equation in the complex numbers.
- $$x ^ { 4 } + 5 x ^ { 3 } - 2 x ^ { 2 } - 18 x - 12 = 0$$

A) $\{ - 1,3 , - 3 + \sqrt { 5 } , - 3 - \sqrt { 5 } \}$
B) $\{ 1 , - 2 , - 3 + \sqrt { 3 } , - 3 - \sqrt { 3 } \}$
C) $\{ - 1,2 , - 3 + \sqrt { 3 } , - 3 - \sqrt { 3 } \}$
D) $\{ - 1 , - 2 , - 3 + \sqrt { 5 } , - 3 - \sqrt { 5 } \}$