Use the Zero $- 3 + \sqrt { 2 } i$

question 13

Multiple Choice

Use the zero $- 3 + \sqrt { 2 } i$ of $f ( x ) = x ^ { 4 } + 3 x ^ { 3 } - 5 x ^ { 2 } - 21 x + 22$ to find all the zeros of f.

• A) \(1,2,3 \pm \sqrt { 2 i }\)
• B) \(1 , - 2 , - 3 \pm \sqrt { 2 i }\)
• C) \(- 1,2 , - 3 \pm \sqrt { 2 i }\)
• D) \(1,2 , - 3 \pm \sqrt { 2 i }\)
• E) \(- 1,2,3 \pm \sqrt { 2 i }\)

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