Solve the Polynomial Equation in the Complex Numbers $$x ^ { 3 } + 8 x ^ { 2 } + 16 x + 8 = 0$$

Multiple Choice

Solve the polynomial equation in the complex numbers.
- $$x ^ { 3 } + 8 x ^ { 2 } + 16 x + 8 = 0$$

A) $\{ 1 , - 1 , - 8 \}$
B) $\{ 2 , - 6 + \sqrt { 5 } , - 6 - \sqrt { 5 } \}$
C) $\{ - 2 , - 3 + \sqrt { 5 } , - 3 - \sqrt { 5 } \}$
D) $\{ - 2 , - 6 + \sqrt { 8 } , - 6 - \sqrt { 8 } \}$