Find a Polynomial of Least Degree with Only Real Coefficients $5 + 4 i$

question 98

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $5 + 4 i$ and $5 - 4 i$

• A) \(f ( x ) = x ^ { 2 } - 10 x + 9\)
• B) \(f ( x ) = x ^ { 2 } + 41\)
• C) \(f ( x ) = x ^ { 2 } + 10 x + 41\)
• D) \(f ( x ) = x ^ { 2 } - 10 x + 41\)

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Definitions:

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