Find a Rational Zero of the Polynomial Function and Use $$f ( x ) = 2 x ^ { 3 } - x ^ { 2 } - 6 x + 3$$

Multiple Choice

Find a rational zero of the polynomial function and use it to find all the zeros of the function.
- $$f ( x ) = 2 x ^ { 3 } - x ^ { 2 } - 6 x + 3$$

A) $\left\{ \frac { 1 } { 2 } , \sqrt { 3 } , - \sqrt { 3 } \right\}$
B) $\left\{ - \frac { 1 } { 2 } , \sqrt { 3 } , - \sqrt { 3 } \right\}$
C) $\{ 2 , \sqrt { 3 } , - \sqrt { 3 } \}$
D) $\{ - 2 , \sqrt { 3 } , - \sqrt { 3 } \}$