Find a Polynomial Function of Lowest Degree with Rational Coefficients $2 , - 6,2 + 4 i$

Multiple Choice

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.
- $2 , - 6,2 + 4 i$

A) $f ( x ) = x ^ { 4 } - 32 x ^ { 2 } + 128 x - 240$
B) $f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 8 x ^ { 2 } - 64 x + 240$
C) $f ( x ) = x ^ { 4 } - 8 x ^ { 2 } + 128 x - 240$
D) $f ( x ) = x ^ { 4 } - 4 x ^ { 3 } - 8 x ^ { 2 } + 64 x - 240$