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

question 201

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) \(f ( x ) = x ^ { 4 } + 16 x ^ { 3 } + 48 x ^ { 2 }\)