Find a Polynomial of Least Degree with Only Real Coefficients $- \sqrt { 5 } , \sqrt { 5 }$

question 308

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $- \sqrt { 5 } , \sqrt { 5 }$ , and 1 (multiplicity 2 )

• A) \(f ( x ) = x ^ { 3 } - 1 x ^ { 2 } - 5 x + 5\)
• B) \(f ( x ) = x ^ { 3 } + 1 x ^ { 2 } - 5 x - 5\)
• C) \(f ( x ) = x ^ { 4 } + 2 x ^ { 3 } + 4 x ^ { 2 } - 10 x + 5\)
• D) \(f ( x ) = x ^ { 4 } - 2 x ^ { 3 } - 4 x ^ { 2 } + 10 x - 5\)

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