Find a Rational Zero of the Polynomial Function and Use $$f ( x ) = x ^ { 4 } + 3 x ^ { 3 } - 18 x ^ { 2 } - 36 x - 16$$

Multiple Choice

Find a rational zero of the polynomial function and use it to find all the zeros of the function.
- $$f ( x ) = x ^ { 4 } + 3 x ^ { 3 } - 18 x ^ { 2 } - 36 x - 16$$

A) $\{ - 1,4 , - 3 + \sqrt { 5 } , - 3 - \sqrt { 5 } \}$
B) $\{ 1 , - 4 , - 3 + \sqrt { 5 } , - 3 - \sqrt { 5 } \}$
C) $\{ - 1,5 , - 3 + \sqrt { 2 } , - 3 - \sqrt { 2 } \}$
D) $\{ - 1 , - 4 , - 3 + \sqrt { 2 } , - 3 - \sqrt { 2 } \}$