Find a Polynomial of Least Degree with Only Real Coefficients $6 , - 10$

question 416

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $6 , - 10$ , and $2 + 3 \mathrm { i }$

• A) \(f ( x ) = x ^ { 4 } - 8 x ^ { 3 } - 18 x ^ { 2 } + 146 x - 780\)
• B) \(f ( x ) = x ^ { 4 } - 63 x ^ { 2 } + 292 x - 780\)
• C) \(f ( x ) = x ^ { 4 } - 8 x ^ { 3 } + 18 x ^ { 2 } - 146 x + 780\)
• D) \(f ( x ) = x ^ { 4 } - 73 x ^ { 2 } + 292 x - 780\)

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