Find a Polynomial of Least Degree with Only Real Coefficients $6 + 5 i$

question 53

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $6 + 5 i$ and $6 - 5 i$

• A) \(f ( x ) = x ^ { 2 } + 61\)
• B) \(f ( x ) = x ^ { 2 } - 12 x + 11\)
• C) \(f ( x ) = x ^ { 2 } + 12 x + 61\)
• D) \(f ( x ) = x ^ { 2 } - 12 x + 61\)