Find a Polynomial Function with Real Coefficients That Has the Given

Multiple Choice

Find a polynomial function with real coefficients that has the given zeros. $1,4 i$

A) $x ^ { 3 } + x ^ { 2 } + 16 x + 16$
B) $x ^ { 3 } - x ^ { 2 } + 16 x - 16$
C) $x ^ { 3 } - x ^ { 2 } - 16 x - 16$
D) $x ^ { 3 } - x ^ { 2 } + 16 x + 16$
E) $x ^ { 3 } + x ^ { 2 } + 16 x - 16$