Given $3 + i$ Is a Root, Determine All Other Roots Of

question 41

Multiple Choice

Given $3 + i$ is a root, determine all other roots of $f ( x ) = x ^ { 4 } - 10 x ^ { 3 } + 42 x ^ { 2 } - 88 x + 80$ .

• A) \(x = 3 + i , 2 \pm 2 i , 2 - i\)
• B) \(x = 3 - i , 2 \pm i\)
• C) \(x = 3 - i , 2 - 2 i , 2 + i\)
• D) \(x = 3 - i , - 2 \pm 2 i\)
• E) \(x = 3 - i , 2 \pm 2 i\)

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