Find All Complex Zeros of the Polynomial Function, and Write $$f ( x ) = x ^ { 4 } + 7 x ^ { 3 } + 21 x ^ { 2 } + 63 x + 108$$

question 182

Multiple Choice

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form.
- $$f ( x ) = x ^ { 4 } + 7 x ^ { 3 } + 21 x ^ { 2 } + 63 x + 108$$

• A) \(f ( x ) = ( x - 4 ) ( x + 3 ) ( x - 3 ) ( x + 3 )\)
• B) \(f ( x ) = ( x - i \sqrt { 12 } ) ( x + i \sqrt { 12 } ) ( x - 3 ) ( x + 3 )\)
• C) \(f ( x ) = ( x - 1 ) ( x - 12 ) ( x - 3 i ) ( x + 3 i )\)
• D) \(f ( x ) = ( x + 4 ) ( x + 3 ) ( x - 3 i ) ( x + 3 i )\)

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Definitions:

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