Use Descartes' Rule of Signs to Determine the Possible Number $$f ( x ) = - 6 x ^ { 4 } - 8 x ^ { 3 } - 7 x ^ { 2 } - 8 x + 3$$

question 386

Multiple Choice

Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the possible number of negative
real zeros for the function.
- $$f ( x ) = - 6 x ^ { 4 } - 8 x ^ { 3 } - 7 x ^ { 2 } - 8 x + 3$$

• A)
• \(\begin{array}{c|c|c}
• \text { Positive } & \text { Negative } & \text { Nonreal Complex } \\
• \hline 2 & 2 & 0 \\
• 2 & 0 & 2 \\
• 0 & 2 & 2 \\
• 0 & 0 & 2
• \end{array}\)
• B)
• \(\begin{array}{c|c|c}
• \text { Positive } & \text { Negative } & \text { Nonreal Complex } \\
• \hline 1 & 1 & 2
• \end{array}\)
• C)
• \(\begin{array}{c|c|c}
• \text { Positive } & \text { Negative } & \text { Nonreal Complex } \\
• \hline 1 & 2 & 1
• \end{array}\)
• D)
• \(\begin{array}{c|c|c}
• \text { Positive } & \text { Negative } & \text { Nonreal Complex } \\
• \hline 1 & 3 & 0 \\
• 1 & 1 & 2
• \end{array}\)

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Definitions:

Essential Attributes

Essential attributes refer to the fundamental or inherent qualities that define the nature of something.

Consistent Principle

A rule or standard that remains uniform and unchanged over time, ensuring reliability and predictability in reasoning or behavior.

Jointly Exhaustive

A characteristic of a set of categories or propositions that together cover all possible scenarios or outcomes, leaving no options unaccounted for.

Jointly Exhaustive

A condition in which a set of options or propositions covers all possible outcomes or cases, leaving no scenario unaddressed.