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

question 16

Multiple Choice

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

• A) \(f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 12 x ^ { 2 } + 64 x - 64\)
• B) \(f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 19 x ^ { 2 } - 64 x + 48\)
• C) \(f ( x ) = x ^ { 4 } + 4 x ^ { 3 } - 12 x ^ { 2 } - 64 x + 64\)
• D) \(f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 21 x ^ { 2 } - 64 x + 80\)

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