Write a Fourth-Degree Polynomial Equation with Real Coefficients and the Roots

question 36

Multiple Choice

Write a fourth-degree polynomial equation with real coefficients and the roots $i , 8 - i$ .

• A) \(\quad x ^ { 4 } - 16 x ^ { 3 } + 66 x ^ { 2 } - 16 x + 65 = 0\)
• B) \(\quad x ^ { 4 } + 66 x ^ { 2 } - 16 x + 65 = 0\)
• C) none of these
• D) \(\quad x ^ { 4 } + 65 x ^ { 2 } - 16 x - 70 = 0\)
• E) \(\quad x ^ { 4 } - 16 x ^ { 3 } - 65 x ^ { 2 } + 70 x + 16 = 0\)

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