Find All Zeros of the Function and Write the Polynomial $$f ( x ) = 3 x ^ { 4 } - 7 x ^ { 3 } + 29 x ^ { 2 } - 63 x + 18$$

question 305

Multiple Choice

Find all zeros of the function and write the polynomial as a product of linear factors.
- $$f ( x ) = 3 x ^ { 4 } - 7 x ^ { 3 } + 29 x ^ { 2 } - 63 x + 18$$

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