Determine All Possible Rational Solutions of the Polynomial Equation $$f ( x ) = 6 x ^ { 3 } + 24 x ^ { 2 } + 2 x - 3$$

Multiple Choice

Determine all possible rational solutions of the polynomial equation.
- $$f ( x ) = 6 x ^ { 3 } + 24 x ^ { 2 } + 2 x - 3$$

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