Factor F(x) into Linear Factors Given That K Is a Zero

question 171

Multiple Choice

Factor f(x) into linear factors given that k is a zero of f(x) .
- $$f ( x ) = 3 x ^ { 3 } + ( 5 - 3 i ) x ^ { 2 } + ( - 11 - 8 i ) x + 3 + 3 i ; k = 1 + i$$

• A) \(( x + ( 1 + i ) ) ( x - 3 ) ( 3 x + 1 )\)
• B) \(( x - ( 1 + i ) ) ( x - 3 ) ( 3 x + 1 )\)
• C) \(( x - ( 1 + i ) ) ( x + 3 ) ( 3 x - 1 )\)
• D) \(( x - ( 1 + i ) ) ( x + 2 ) ( 3 x - 1 )\)

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