Use the Intermediate Value Theorem to Determine Whether the Polynomial $$f ( x ) = 5 x ^ { 5 } - 3 x ^ { 3 } + 8 x ^ { 2 } - 1 ; [ - 2 , - 1 ]$$

question 297

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $$f ( x ) = 5 x ^ { 5 } - 3 x ^ { 3 } + 8 x ^ { 2 } - 1 ; [ - 2 , - 1 ]$$

• A) \(f ( - 2 ) = 105\) and \(f ( - 1 ) = - 5\); yes
• B) \(f ( - 2 ) = 105\) and \(f ( - 1 ) = 5\); no
• C) \(f ( - 2 ) = - 105\) and \(f ( - 1 ) = 5\); yes
• D) \(f ( - 2 ) = - 105\) and \(f ( - 1 ) = - 5\); no

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