Form a Polynomial F(x) with Real Coefficients Having the Given $1 + i$

question 242

Multiple Choice

Form a polynomial f(x) with real coefficients having the given degree and zeros.
-Degree 3: zeros: $1 + i$ and $- 9$

• A) \(f ( x ) = x ^ { 3 } + x ^ { 2 } - 16 x + 18\)
• B) \(f ( x ) = x ^ { 3 } + 7 x ^ { 2 } + 18 x - 16\)
• C) \(f ( x ) = x ^ { 3 } + 7 x ^ { 2 } - 16 x + 18\)
• D) \(f ( x ) = x ^ { 3 } - 9 x ^ { 2 } - 16 x - 12\)

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