Write $f ( x ) = x ^ { 3 } - 4 x ^ { 2 } + 4 x - 16$

question 78

Multiple Choice

Write $f ( x ) = x ^ { 3 } - 4 x ^ { 2 } + 4 x - 16$ as a product of linear factors.

• A) \(x = ( x - 4 ) ( x - 2 ) ^ { 2 }\)
• B) \(x = ( x - 4 ) ( x + 2 i ) ( x - 2 i )\)
• C) \(x = ( x - 4 ) ^ { 2 } ( x - 2 i )\)
• D) \(x = ( x - 4 ) ( x + 2 ) ^ { 2 }\)
• E) \(x = ( x + 4 ) ( x - 4 ) ( x + 2 )\)

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