Find a Polynomial of Least Degree with Only Real Coefficients $- \sqrt { 6 } , \sqrt { 6 }$

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $- \sqrt { 6 } , \sqrt { 6 }$ , and $- 7 i$

A) $f ( x ) = x ^ { 4 } + 43 x ^ { 2 } - 294$
B) $f ( x ) = x ^ { 4 } + 86 x ^ { 2 } + 294$
C) $f ( x ) = x ^ { 4 } - 43 x ^ { 2 } - 294$
D) $f ( x ) = x ^ { 4 } - 86 x ^ { 2 } + 294$