Use the Rational Zero Theorem to List All Possible Rational $$f ( x ) = x ^ { 4 } + 5 x ^ { 3 } - 5 x ^ { 2 } + 4 x - 12$$

Multiple Choice

Use the Rational Zero Theorem to list all possible rational zeros for the given function.
- $$f ( x ) = x ^ { 4 } + 5 x ^ { 3 } - 5 x ^ { 2 } + 4 x - 12$$

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