Find a Rational Zero of the Polynomial Function and Use $$f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 22 x ^ { 2 } - 36 x - 208$$

Multiple Choice

Find a rational zero of the polynomial function and use it to find all the zeros of the function.
- $$f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 22 x ^ { 2 } - 36 x - 208$$

A) $\{ - 2,4,1 + 5 i , 1 - 5 i \}$
B) $\{ 2 , - 4,1 + 5 i , 1 - 5 i \}$
C) $\{ - 2,4,1 + 6 i , 1 - 6 i \}$
D) $\{ 2 , - 4,1 + \sqrt { 5 } , 1 - \sqrt { 5 } \}$