Find a Polynomial of Least Degree with Only Real Coefficients $3 , - 11$

question 128

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $3 , - 11$ , and $4 + 4 i$

• A) \(f ( x ) = x ^ { 4 } - 65 x ^ { 2 } + 520 x - 1056\)
• B) \(f ( x ) = x ^ { 4 } - 130 x ^ { 2 } + 520 x - 1056\)
• C) \(f ( x ) = x ^ { 4 } - 7 x ^ { 3 } + 12 x ^ { 2 } - 260 x + 1056\)
• D) \(f ( x ) = x ^ { 4 } - 7 x ^ { 3 } - 12 x ^ { 2 } + 260 x - 1056\)

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