Give the Maximum Number of Zeros the Polynomial Function May $$f ( x ) = x ^ { 7 } + x ^ { 6 } + x ^ { 2 } + x + 8$$

question 102

Multiple Choice

Give the maximum number of zeros the polynomial function may have. Use Descarte's Rule of Signs to determine how
many positive and how many negative zeros it may have.
- $$f ( x ) = x ^ { 7 } + x ^ { 6 } + x ^ { 2 } + x + 8$$

• A) 7 ; 0 positive zeros; 1 negative zero
• B) 7; 0 positive zeros; 2 or 0 negative zeros
• C) \(7 ; 0\) positive zeros; 3 or 1 negative zeros
• D) 7; 0 positive zeros; 0 negative zeros

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Definitions:

Matching Pairs

A technique in research design where participants are paired based on certain characteristics, ensuring that each pair is similar except for the independent variable.

Matched Pairs

A research design in which subjects are paired based on shared characteristics or behaviors, ensuring that each pair is as similar as possible except for the variable under investigation.

Rank Orders

This term describes a method of organizing data where items are arranged based on their order or rank, often without considering the actual distance or difference between the rankings.

Variable of Interest

The specific element, factor, or measure that a researcher seeks to investigate or analyze in a study.