Give the Maximum Number of Zeros the Polynomial Function May $f ( x ) = x ^ { 5 } - 2.9 x ^ { 4 } - 13.51 x ^ { 3 } + 28.816 x ^ { 2 } + 37.76 x - 5.567$

question 268

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.
- $f ( x ) = x ^ { 5 } - 2.9 x ^ { 4 } - 13.51 x ^ { 3 } + 28.816 x ^ { 2 } + 37.76 x - 5.567$

• A) 5; 2 or 0 positive zeros; 2 or 0 negative zeros
• B) 5; 2 or 0 positive zeros; 3 or 1 negative zeros
• C) 5; 3 or 1 positive zeros; 3 or 1 negative zeros
• D) 5; 3 or 1 positive zeros; 2 or 0 negative zeros

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Definitions:

Descriptive Measure

A descriptive measure provides a summary or analysis that captures the characteristics or features of a dataset, often in terms of central tendency or variability.

Population

The entire set of individuals or objects of interest or the measurements obtained from all individuals or objects of interest.

Parameter

A value that describes a characteristic of a population, such as its mean or standard deviation, often used in statistical models and inference.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values in a dataset deviate from the mean.