Write a Polynomial Function of Minimum Degree with Real Coefficients $5 i$

question 45

Multiple Choice

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the
polynomial in standard form.
- $5 i$ and $\sqrt { 2 }$

• A) \(f ( x ) = x ^ { 4 } - 23 x ^ { 2 } - 50\)
• B) \(f ( x ) = x ^ { 4 } + 23 x ^ { 2 } - 50\)
• C) \(f ( x ) = x ^ { 4 } - 46 x ^ { 2 } + 50\)
• D) \(f ( x ) = x ^ { 4 } + 46 x ^ { 2 } + 50\)

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