Write a Polynomial F (X) That Meets the Given Conditions $4,5 i$

Multiple Choice

Write a polynomial f (x) that meets the given conditions. Answers may vary.
-Degree 3 polynomial with zeros $4,5 i$ , and $- 5 i$

A) $f ( x ) = x ^ { 3 } + 4 x ^ { 2 } - 25 x - 100$
B) $f ( x ) = x ^ { 3 } - 4 x ^ { 2 } + 25 x - 100$
C) $f ( x ) = x ^ { 3 } + 4 x ^ { 2 } + 25 x + 100$
D) $f ( x ) = x ^ { 3 } - 4 x ^ { 2 } - 25 x + 100$