Use the Intermediate Value Theorem to Determine If a Real $f ( x ) = - x ^ { 3 } - 6 x ^ { 2 } + 2 x + 5 \text { in } ( 5,6 )$

question 101

Multiple Choice

Use the Intermediate Value Theorem to determine if a real zero of f(x) occurs in the given interval. If this cannot be
determined, indicate so.
- $f ( x ) = - x ^ { 3 } - 6 x ^ { 2 } + 2 x + 5 \text { in } ( 5,6 )$

• A)Yes
• B)Cannot determine

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Definitions:

Simplify

The process of making an equation, expression, or problem easier to handle by reducing its complexity while maintaining its equivalence.

Complex Fraction

A fraction where the numerator, denominator, or both contain a fraction.

Simplify

Simplifying involves reducing an expression or equation to its most basic form, making it easier to work with.

Complex Fraction

A fraction where the numerator, denominator, or both, contain a fraction themselves, essentially a "fraction within a fraction".