Determine All Possible Rational Solutions of the Polynomial Equation $$f ( x ) = 2 x ^ { 3 } + 8 x ^ { 2 } + 12 x - 8$$

Multiple Choice

Determine all possible rational solutions of the polynomial equation.
- $$f ( x ) = 2 x ^ { 3 } + 8 x ^ { 2 } + 12 x - 8$$

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