Find All Complex Zeros of the Polynomial Function, and Write $$f ( x ) = x ^ { 3 } - x ^ { 2 } + 25 x - 25$$

question 181

Multiple Choice

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form.
- $$f ( x ) = x ^ { 3 } - x ^ { 2 } + 25 x - 25$$

• A) \(f ( x ) = ( x - 1 ) ( x + 5 i ) ( x - 5 i )\)
• B) \(f ( x ) = ( x - 1 ) ( x + 1 ) ( x + 25 )\)
• C) \(f ( x ) = ( x - 1 ) ( x + 5 ) ( x - 5 )\)
• D) \(f ( x ) = ( x - 25 ) ( x + i ) ( x - i )\)

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