Write a Polynomial Function of Minimum Degree with Real Coefficients $- 1$

question 424

Multiple Choice

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the
polynomial in standard form.
- $- 1$ and $3 + 5 \mathrm { i }$

• A) \(f ( x ) = x ^ { 3 } - 5 x ^ { 2 } + 28 x + 35\)
• B) \(f ( x ) = x ^ { 3 } - 5 x ^ { 2 } + 28 x + 34\)
• C) \(f ( x ) = x ^ { 3 } + 5 x ^ { 2 } + 28 x + 34\)
• D) \(f ( x ) = x ^ { 3 } - 5 x ^ { 2 } + 28 x - 34\)

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