Find the Zeros and Their Multiplicities $$f ( x ) = 3 x ^ { 4 } - 32 x ^ { 3 } + 122 x ^ { 2 } - 188 x + 80$$

Multiple Choice

Find the zeros and their multiplicities. Consider using Descartes' rule of signs and the upper and lower
bound theorem to limit your search for rational zeros.
- $$f ( x ) = 3 x ^ { 4 } - 32 x ^ { 3 } + 122 x ^ { 2 } - 188 x + 80$$

A) $4 , \frac { 2 } { 3 } , \pm 3 i$ (each multiplicity 1 )
B) $- 4 , - \frac { 2 } { 3 } , 3 \pm i ($ each multiplicity $1 )$
C) $- 4 , - \frac { 2 } { 3 } , \pm 3 i$ (each multiplicity 1 $)$
D) $4 , \frac { 2 } { 3 } , 3 \pm i ($ each multiplicity $1 )$