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 $- 7$ (multiplicity 2 )

A) $f ( x ) = x ^ { 4 } + 14 x ^ { 3 } + 43 x ^ { 2 } - 84 x - 294$
B) $f ( x ) = x ^ { 3 } - 7 x ^ { 2 } - 6 x + 42$
C) $f ( x ) = x ^ { 4 } - 14 x ^ { 3 } - 43 x ^ { 2 } + 84 x + 294$
D) $f ( x ) = x ^ { 3 } + 7 x ^ { 2 } - 6 x - 42$