Determine All Possible Rational Solutions of the Polynomial Equation $$f ( x ) = - 2 x ^ { 4 } + 4 x ^ { 3 } + 5 x ^ { 2 } + 18$$

Multiple Choice

Determine all possible rational solutions of the polynomial equation.
- $$f ( x ) = - 2 x ^ { 4 } + 4 x ^ { 3 } + 5 x ^ { 2 } + 18$$

A) $\pm 1 , \pm \frac { 1 } { 2 } , \pm 2 , \pm 3 , \pm 6 , \pm 9 , \pm 18$
B) $\pm 1 , \pm \frac { 1 } { 2 } , \pm 2 , \pm 3 , \pm \frac { 3 } { 2 } , \pm 6 , \pm 9 , \pm \frac { 9 } { 2 } , \pm 18$
C) $\pm 1 , \pm 2 , \pm 3 , \pm 6 , \pm 9 , \pm 18$
D) $\pm 1 , \pm 2 , \pm \frac { 1 } { 2 } , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 6 } , \pm \frac { 1 } { 9 } , \pm \frac { 1 } { 18 }$