Use the Intermediate Value Theorem to Determine Whether the Polynomial $f ( x ) = 3 x ^ { 4 } - 5 x ^ { 3 } + 25 x ^ { 2 } - 45 x - 18$

question 42

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $f ( x ) = 3 x ^ { 4 } - 5 x ^ { 3 } + 25 x ^ { 2 } - 45 x - 18$

• 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) \(f ( x ) = ( 3 x - 1 ) ( x + 2 ) ( x + 3 ) ( x - 3 )\)

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