Use the Rational Zero Theorem to List All Possible Rational $$f ( x ) = x ^ { 5 } - 2 x ^ { 2 } + 3 x + 15$$

Multiple Choice

Use the Rational Zero Theorem to list all possible rational zeros for the given function.
- $$f ( x ) = x ^ { 5 } - 2 x ^ { 2 } + 3 x + 15$$

A) $\pm 1 , \pm 5 , \pm 3 , \pm 15$
B) $\pm 1 , \pm \frac { 1 } { 5 } , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 15 }$
C) $\pm 1 , \pm \frac { 1 } { 5 } , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 15 } , \pm 5 , \pm 3 , \pm 15$
D) $\pm 1 , \pm 5 , \pm 3$