Use the Intermediate Value Theorem to Determine Whether the Polynomial $f ( x ) = 6 x ^ { 5 } - 7 x ^ { 3 } + 6 x ^ { 2 } - 2$

question 166

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero between the given
integers
- $f ( x ) = 6 x ^ { 5 } - 7 x ^ { 3 } + 6 x ^ { 2 } - 2$ ; between $- 2$ and $- 1$

• A) \(f ( - 2 ) = - 114\) and \(f ( - 1 ) = - 5\); no
• B) \(f ( - 2 ) = - 114\) and \(f ( - 1 ) = 5\); yes
• C) \(f ( - 2 ) = 114\) and \(f ( - 1 ) = - 5\); yes
• D) \(f ( - 2 ) = 114\) and \(f ( - 1 ) = 5\); no

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