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

question 376

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $- \sqrt { 3 } , \sqrt { 3 }$ , and 8 (multiplicity 2 )

• A) \(f ( x ) = x ^ { 4 } - 16 x ^ { 3 } + 61 x ^ { 2 } + 48 x - 192\)
• B) \(f ( x ) = x ^ { 3 } + 8 x ^ { 2 } - 3 x - 24\)
• C) \(f ( x ) = x ^ { 3 } - 8 x ^ { 2 } - 3 x + 24\)
• D) \(f ( x ) = x ^ { 4 } + 16 x ^ { 3 } - 61 x ^ { 2 } - 48 x + 192\)

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