Write a Polynomial Function of Minimum Degree with Real Coefficients $3 + 6 i$

Multiple Choice

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the
polynomial in standard form.
-4 and $3 + 6 i$

A) $f ( x ) = x ^ { 3 } - 10 x ^ { 2 } + 69 x + 180$
B) $f ( x ) = x ^ { 3 } - 10 x ^ { 2 } + 69 x - 180$
C) $f ( x ) = x ^ { 3 } - 10 x ^ { 2 } + 69 x - 179$
D) $f ( x ) = x ^ { 3 } + 10 x ^ { 2 } + 69 x - 180$