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

question 464

Multiple Choice

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

• A) \(f ( x ) = x ^ { 4 } + 13 x ^ { 2 } - 48\)
• B) \(f ( x ) = x ^ { 4 } + 26 x ^ { 2 } + 48\)
• C) \(f ( x ) = x ^ { 4 } - 26 x ^ { 2 } + 48\)
• D) \(f ( x ) = x ^ { 4 } - 13 x ^ { 2 } - 48\)

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