For the Polynomial, One Zero Is Given $$P ( x ) = x ^ { 4 } - 10 x ^ { 3 } + 23 x ^ { 2 } - 10 x + 22 ; i$$

Multiple Choice

For the polynomial, one zero is given. Find all others.
- $$P ( x ) = x ^ { 4 } - 10 x ^ { 3 } + 23 x ^ { 2 } - 10 x + 22 ; i$$

A) $- \mathrm { i } , 5 + \sqrt { 3 } , 5 - \sqrt { 3 }$
B) $- \mathrm { i } , 1 + \sqrt { 3 } , 1 - \sqrt { 3 }$
C) $- i , 5 + 2 \sqrt { 3 } , 5 - 2 \sqrt { 3 }$
D) $- i , - 5 + \sqrt { 3 } , - 5 - \sqrt { 3 }$