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

Multiple Choice

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

A) $\pm \frac { 1 } { 5 } , \pm \frac { 3 } { 5 } , \pm 1 , \pm 3$
B) $\pm \frac { 1 } { 3 } , \pm \frac { 5 } { 3 } , \pm 1 , \pm 5$
C) $\pm \frac { 1 } { 5 } , \pm \frac { 3 } { 5 } , \pm 1 , \pm 3 , \pm 5$
D) $\pm \frac { 1 } { 5 } , \pm \frac { 1 } { 3 } , \pm 1 , \pm 3 , \pm 5$