Find a Polynomial of Least Degree with Only Real Coefficients $- \sqrt { 2 } , \sqrt { 2 }$

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $- \sqrt { 2 } , \sqrt { 2 }$ , and $- 6 \mathrm { i }$

A) $f ( x ) = x ^ { 4 } - 34 x ^ { 2 } - 72$
B) $f ( x ) = x ^ { 4 } + 34 x ^ { 2 } - 72$
C) $f ( x ) = x ^ { 4 } + 68 x ^ { 2 } + 72$
D) $f ( x ) = x ^ { 4 } - 68 x ^ { 2 } + 72$