Find a Polynomial of Least Degree with Only Real Coefficients $4 + \sqrt { 2 } , 4 - \sqrt { 2 }$

question 100

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $4 + \sqrt { 2 } , 4 - \sqrt { 2 }$ , and 3

• A) \(f ( x ) = x ^ { 3 } - 13 x ^ { 2 } + 38 x + 44\)
• B) \(f ( x ) = x ^ { 3 } - 11 x ^ { 2 } + 38 x - 42\)
• C) \(f ( x ) = x ^ { 3 } + 11 x ^ { 2 } + 38 x - 42\)
• D) \(f ( x ) = x ^ { 3 } - 13 x ^ { 2 } + 38 x + 42\)

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