Find All Zeros of the Function and Write the Polynomial $$f ( x ) = x ^ { 3 } + 11 x ^ { 2 } + 36 x + 26$$

question 285

Multiple Choice

Find all zeros of the function and write the polynomial as a product of linear factors.
- $$f ( x ) = x ^ { 3 } + 11 x ^ { 2 } + 36 x + 26$$

• A) \(f ( x ) = ( x + 1 ) ( x + 5 + i \sqrt { 2 } ) ( x - 1 - i \sqrt { 2 } )\)
• B) \(f ( x ) = ( x + 1 ) ( x + 5 + i ) ( x + 5 - i )\)
• C) \(f ( x ) = ( x + 1 ) ( x + 5 + i ) ( x - 5 - i )\)
• D) \(f ( x ) = ( x - 1 ) ( x + 5 + i \sqrt { 2 } ) ( x + 5 - i \sqrt { 2 } )\)