Find All Zeros of the Function and Write the Polynomial $f ( x ) = x ^ { 4 } + 5 x ^ { 3 } + 15 x ^ { 2 } + 45 x + 54$

question 34

Multiple Choice

Find all zeros of the function and write the polynomial as a product of linear factors.
- $f ( x ) = x ^ { 4 } + 5 x ^ { 3 } + 15 x ^ { 2 } + 45 x + 54$

• A) \(f ( x ) = ( x + 3 ) ( x + 2 ) ( x - 3 i ) ( x + 3 i )\)
• B) \(f ( x ) = ( x - 3 ) ( x + 2 ) ( x - 3 ) ( x + 3 )\)
• C) \(f ( x ) = ( x - 1 ) ( x - 6 ) ( x - 3 i ) ( x + 3 i )\)
• D) \(f ( x ) = ( x - i \sqrt { 6 } ) ( x + i \sqrt { 6 } ) ( x - 3 ) ( x + 3 )\)

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