Write a Polynomial Function of Minimum Degree with Real Coefficients $3 + 6 i$

question 199

Multiple Choice

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the
polynomial in standard form.
-4 and $3 + 6 i$

• A) \(f ( x ) = x ^ { 3 } - 10 x ^ { 2 } + 69 x + 180\)
• B) \(f ( x ) = x ^ { 3 } - 10 x ^ { 2 } + 69 x - 180\)
• C) \(f ( x ) = x ^ { 3 } - 10 x ^ { 2 } + 69 x - 179\)
• D) \(f ( x ) = x ^ { 3 } + 10 x ^ { 2 } + 69 x - 180\)

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