Write $f ( x ) = x ^ { 4 } - 12 x ^ { 3 } + 59 x ^ { 2 } - 138 x + 130$

question 89

Multiple Choice

Write $f ( x ) = x ^ { 4 } - 12 x ^ { 3 } + 59 x ^ { 2 } - 138 x + 130$ as a product of linear factors.

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

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