Find All Complex Zeros of the Polynomial Function, and Write $$f ( x ) = 3 x ^ { 4 } + 4 x ^ { 3 } + 28 x ^ { 2 } + 36 x + 9$$

question 16

Multiple Choice

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form.
- $$f ( x ) = 3 x ^ { 4 } + 4 x ^ { 3 } + 28 x ^ { 2 } + 36 x + 9$$

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

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