Find a Polynomial of Least Degree with Only Real Coefficients $4 + \sqrt { 2 } , 4 - \sqrt { 2 }$

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $4 + \sqrt { 2 } , 4 - \sqrt { 2 }$ , and 3

A) $f ( x ) = x ^ { 3 } - 13 x ^ { 2 } + 38 x + 44$
B) $f ( x ) = x ^ { 3 } - 11 x ^ { 2 } + 38 x - 42$
C) $f ( x ) = x ^ { 3 } + 11 x ^ { 2 } + 38 x - 42$
D) $f ( x ) = x ^ { 3 } - 13 x ^ { 2 } + 38 x + 42$