Find All the Zeros (Real and Complex)of the Function $f ( x ) = 3 x ^ { 4 } - 23 x ^ { 3 } + 89 x ^ { 2 } - 167 x + 78$

Multiple Choice

Find all the zeros (real and complex) of the function.
- $f ( x ) = 3 x ^ { 4 } - 23 x ^ { 3 } + 89 x ^ { 2 } - 167 x + 78$

A) $2 + 3 i , 2 - 3 i , 3 , \frac { 2 } { 3 }$
B) $2 + 3 \mathrm { i } , 3 - 2 \mathrm { i } , 3 , - \frac { 2 } { 3 }$
C) $2 + 3 i , 3 - 2 i , - 3 , - \frac { 2 } { 3 }$
D) $2 + 3 i , 2 - 3 i , - 3 , \frac { 2 } { 3 }$