Find All of the Real Zeros of the Function $$f ( x ) = x ^ { 3 } + 6 x ^ { 2 } - 20 x - 32$$

Multiple Choice

Find all of the real zeros of the function. Give exact values whenever possible. Identify each zero as rational or irrational.
- $$f ( x ) = x ^ { 3 } + 6 x ^ { 2 } - 20 x - 32$$

A) $- 8$ (rational) , $1 + \sqrt { 5 }$ (irrational) , and $1 - \sqrt { 5 }$ (irrational)
B) $- 8$ (rational) , $2 + \sqrt { 5 }$ (irrational) , and $2 - \sqrt { 5 }$ (irrational)
C) $- 8$ (rational) , 6 (rational) , $- 4$ (rational)
D) $- 8$ (rational) , $\sqrt { 5 }$ (irrational) , and $- \sqrt { 5 }$ (irrational)