Find a Rational Zero of the Polynomial Function and Use $$f ( x ) = 2 x ^ { 4 } - 15 x ^ { 3 } + 45 x ^ { 2 } - 45 x + 13$$

Multiple Choice

Find a rational zero of the polynomial function and use it to find all the zeros of the function.
- $$f ( x ) = 2 x ^ { 4 } - 15 x ^ { 3 } + 45 x ^ { 2 } - 45 x + 13$$

A) $\left\{ 1 , \frac { 1 } { 2 } , 3 + 2 i , 3 - 2 i \right\}$
B) $\left\{ - 1 , - \frac { 1 } { 2 } , 2 + 3 i , 2 - 3 i \right\}$
C) $\left\{ 1 , - \frac { 1 } { 2 } , 2 + 3 i , 2 - 3 i \right\}$
D) $\left\{ - 1 , \frac { 1 } { 2 } , 3 + 2 i , 3 - 2 i \right\}$