Write a Polynomial F (X) That Meets the Given Conditions $- 8 + 4 i$

Multiple Choice

Write a polynomial f (x) that meets the given conditions.
-Polynomial of lowest degree with real coefficients and with zeros $- 8 + 4 i$ (multiplicity 1 ) and 0 (multiplicity 2)

A) $f ( x ) = x ^ { 4 } + 16 x + 48$
B) $f ( x ) = x ^ { 4 } + 16 x ^ { 3 } + 80 x ^ { 2 }$
C) $f ( x ) = x ^ { 4 } + 16 x + 80$
D) $f ( x ) = x ^ { 4 } + 16 x ^ { 3 } + 48 x ^ { 2 }$