Use the Intermediate Value Theorem to Determine Whether the Polynomial $f ( x ) = - 6 x ^ { 4 } - 10 x ^ { 2 } + 2$

question 164

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero between the
given integers.
- $f ( x ) = - 6 x ^ { 4 } - 10 x ^ { 2 } + 2$ ; between $- 1$ and 0

• A) \(f ( - 1 ) = - 14\) and \(f ( 0 ) = 2\); yes
• B) \(f ( - 1 ) = 14\) and \(f ( 0 ) = 3\); no
• C) \(\mathrm { f } ( - 1 ) = - 14\) and \(\mathrm { f } ( 0 ) = - 2\); no
• D) \(f ( - 1 ) = 14\) and \(f ( 0 ) = - 2\); yes

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