Find All of the Real Zeros of the Function $$f ( x ) = x ^ { 4 } + 9 x ^ { 3 } + 7 x ^ { 2 } - 117 x - 260$$

Multiple Choice

Find all of the real zeros of the function. Give exact values whenever possible. Identify each zero as rational or irrational.
- $$f ( x ) = x ^ { 4 } + 9 x ^ { 3 } + 7 x ^ { 2 } - 117 x - 260$$

A) $- 5$ (rational) , $- 4$ (rational) , $\sqrt { 13 }$ (irrational) , and $- \sqrt { 13 }$ (irrational)
B) 5 (rational) , 4 (rational) , $2 + \sqrt { 13 }$ (irrational) , and $2 - \sqrt { 13 }$ (irrational)
C) 5 (rational) , 4 (rational) , $\sqrt { 13 }$ (irrational) , and $- \sqrt { 13 }$ (irrational)
D) $- 5$ (rational) , $- 4$ (rational) , $2 + \sqrt { 13 }$ (irrational) , and $2 - \sqrt { 13 }$ (irrational)