Find All Complex Zeros of the Polynomial Function, and Write $f ( x ) = x ^ { 3 } + 7 x ^ { 2 } + 20 x + 14$

question 26

Multiple Choice

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form.
- $f ( x ) = x ^ { 3 } + 7 x ^ { 2 } + 20 x + 14$

• A) \(f ( x ) = ( x + 1 ) ( x + 3 + i \sqrt { 5 } ) ( x + 3 - i \sqrt { 5 } )\)
• B) \(f ( x ) = ( x + 1 ) ( x + 3 + i \sqrt { 5 } ) ( x - 3 - i \sqrt { 5 } )\)
• C) \(f ( x ) = ( x - 1 ) ( x + 5 + 3 i ) ( x - 5 - 3 i )\)
• D) \(f ( x ) = ( x - 1 ) ( x + 5 + 3 i ) ( x + 5 - 3 i )\)

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