Determine All Possible Rational Solutions of the Polynomial Equation $$f ( x ) = x ^ { 3 } - 6 x ^ { 2 } + 4 x - 24$$

Multiple Choice

Determine all possible rational solutions of the polynomial equation.
- $$f ( x ) = x ^ { 3 } - 6 x ^ { 2 } + 4 x - 24$$

A) $\pm 1 , \pm 2 , \pm 3 , \pm 4 , \pm 6 , \pm 8 , \pm 12 , \pm 24$
B) $\pm 1 , \pm 2 , \pm 3 , \pm 4 , \pm 6 , \pm 12 , \pm 24$
C) $\pm 1 , \pm 2 , \pm 3 , \pm 4 , \pm 24$
D) $\pm 1 , \pm \frac { 1 } { 2 } , \pm 2 , \pm 3 , \pm 4 , \pm 6 , \pm 8 , \pm 12 , \pm 24$