Use the Rational Zeros Theorem to Determine the Potential Rational $$f ( x ) = - 4 x ^ { 4 } + 3 x ^ { 2 } - 2 x + 6$$

Multiple Choice

Use the rational zeros theorem to determine the potential rational zeros of the polynomial function. Do not find the zeros.
- $$f ( x ) = - 4 x ^ { 4 } + 3 x ^ { 2 } - 2 x + 6$$

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