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) $f ( x ) = x ^ { 4 } - 4 x ^ { 3 } - 8 x ^ { 2 } + 64 x - 240$

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The Answer of 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) $f ( x ) = x ^ { 4 } - 4 x ^ { 3 } - 8 x ^ { 2 } + 64 x - 240$

Find a Polynomial Function of Lowest Degree with Rational Coefficients 2,−6,2+4i2 , - 6,2 + 4 i2,−6,2+4i

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