Write $f ( x ) = x ^ { 5 } - 6 x ^ { 4 } + 15 x ^ { 3 } - 18 x ^ { 2 } + 10 x$

question 86

Multiple Choice

Write $f ( x ) = x ^ { 5 } - 6 x ^ { 4 } + 15 x ^ { 3 } - 18 x ^ { 2 } + 10 x$ as a product of linear factors given that $2 - i$ and $1 - i$ are zeros of the polynomial.

• A) \(( x - 2 + i ) ^ { 3 } ( x - 1 - i ) ^ { 2 }\)
• B) \(x ^ { 2 } ( x - 2 - i ) ( x - 1 + i ) ( x - 1 - i )\)
• C) \(x ( x - 2 + i ) ( x - 2 - i ) ( x - 1 + i ) ( x - 1 - i )\)
• D) \(x ^ { 3 } ( x - 2 - i ) ( x - 1 - i )\)
• E) \(( x - 2 - i ) ^ { 2 } ( x - 1 - i ) ^ { 3 }\)

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