Find a Polynomial of Least Degree with Only Real Coefficients $3 + \sqrt { 6 } , 3 - \sqrt { 6 }$

question 151

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $3 + \sqrt { 6 } , 3 - \sqrt { 6 }$ , and 3

• A) \(f ( x ) = x ^ { 3 } - 9 x ^ { 2 } + 21 x - 9\)
• B) \(f ( x ) = x ^ { 3 } - 11 x ^ { 2 } + 21 x + 9\)
• C) \(f ( x ) = x ^ { 3 } + 9 x ^ { 2 } + 21 x - 9\)
• D) \(f ( x ) = x ^ { 3 } - 11 x ^ { 2 } + 21 x + 11\)

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