Find the Zeros of the Function $$f ( x ) = 3 x ^ { 2 } - x + 6$$

Multiple Choice

Find the zeros of the function. Give exact answers.
- $$f ( x ) = 3 x ^ { 2 } - x + 6$$

A) $\frac { 1 } { 3 } \pm \frac { \sqrt { 71 } } { 3 }$ i
B) $1 \pm \sqrt { 71 }$
C) $\frac { 1 } { 6 } \pm \frac { \sqrt { 71 } } { 6 } \mathrm { i }$
D) $- \frac { 1 } { 3 } , \frac { 1 } { 6 }$