Find All Complex Zeros of the Polynomial Function $$f ( x ) = 3 x ^ { 4 } - 10 x ^ { 3 } + 20 x ^ { 2 } - 40 x + 32$$

Multiple Choice

Find all complex zeros of the polynomial function. Give exact values. List multiple zeros as necessary.
- $$f ( x ) = 3 x ^ { 4 } - 10 x ^ { 3 } + 20 x ^ { 2 } - 40 x + 32$$

A) $\frac { 4 } { 3 } , 2 , - 2 i , 2 i$
B) $- \frac { 4 } { 3 } , - 2 , - 2 i , 2 i$
C) $\frac { 2 } { 3 } , 2 , - 4 \mathrm { i } , 4 \mathrm { i }$
D) $\frac { 4 } { 3 } , 2 , - \mathrm { i } , \mathrm { i }$