Using the Given Zero, Find All Other Zeros of F(x) $i$

Using the given zero, find all other zeros of f(x) .
- $i$ is a zero of $f ( x ) = x ^ { 4 } - 8 x ^ { 3 } + 14 x ^ { 2 } - 8 x + 13$

A) $- \mathrm { i } , 4 + 2 \sqrt { 3 } , 4 - 2 \sqrt { 3 }$
B) $- \mathrm { i } , 4 + \sqrt { 3 } , 4 - \sqrt { 3 }$
C) $- i , - 4 + \sqrt { 3 } , - 4 - \sqrt { 3 }$
D) $- i , 1 + \sqrt { 3 } , 1 - \sqrt { 3 }$

Correct Answer:

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