Use the Rational Zero Theorem to List All Possible Rational $$f ( x ) = - 2 x ^ { 3 } + 2 x ^ { 2 } - 4 x + 8$$

Multiple Choice

Use the Rational Zero Theorem to list all possible rational zeros for the given function.
- $$f ( x ) = - 2 x ^ { 3 } + 2 x ^ { 2 } - 4 x + 8$$

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