Use the Zero or Root of Graphing Utility to Find $f ( x ) = x ^ { 4 } = 3 x ^ { 2 } - 5 x ^ { 2 } - 21 x + 22$

Multiple Choice

Use the zero or root of graphing utility to find the real zeros of the function $f ( x ) = x ^ { 4 } = 3 x ^ { 2 } - 5 x ^ { 2 } - 21 x + 22$ and find the exact values of the remaining zeros.

A) Real zeros: $2,3$ Exact zero: $- 3 \pm \sqrt { 2 } i$
B) Real zeros: $2,3$ Exact zero: $- 3 - \sqrt { 2 } i$
C) Real zeros: $1,2$ Exact zero: $3 \pm \sqrt { 2 } i$
D) Real zeros: $1,2$ Exact zero: $3 + \sqrt { 2 } i$
E) Real zeros: $1,2$ Exact zero: $- 3 \pm \sqrt { 2 } i$