Form a Polynomial F(x) with Real Coefficients Having the Given $- 3 \mathrm { i }$

question 126

Multiple Choice

Form a polynomial f(x) with real coefficients having the given degree and zeros.
-Degree: 5; zeros: 2, $- 3 \mathrm { i }$ , and $4 - \mathrm { i }$

• A) \(f ( x ) = x ^ { 5 } - 10 x ^ { 4 } + 26 x ^ { 3 } - 124 x ^ { 2 } + 72 x + 306\)
• B) \(f ( x ) = x ^ { 5 } - 10 x ^ { 4 } + 42 x ^ { 3 } - 124 x ^ { 2 } + 297 x - 306\)
• C) \(f ( x ) = x ^ { 5 } - 10 x ^ { 4 } - 42 x ^ { 3 } - 124 x ^ { 2 } + 297 x + 306\)
• D) \(f ( x ) = x ^ { 5 } - 10 x ^ { 4 } + 26 x ^ { 3 } - 124 x ^ { 2 } - 72 x - 306\)

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