Find a Polynomial of Least Degree with Only Real Coefficients $7 , - 11$

question 348

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $7 , - 11$ , and $2 + 4 \mathrm { i }$

• A) \(f ( x ) = x ^ { 4 } - 9 x ^ { 3 } - 28 x ^ { 2 } + 194 x - 1540\)
• B) \(f ( x ) = x ^ { 4 } - 73 x ^ { 2 } + 388 x - 1540\)
• C) \(f ( x ) = x ^ { 4 } - 97 x ^ { 2 } + 388 x - 1540\)
• D) \(f ( x ) = x ^ { 4 } - 9 x ^ { 3 } + 28 x ^ { 2 } - 194 x + 1540\)

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