Give the Maximum Number of Zeros the Polynomial Function May $f ( x ) = x ^ { 6 } + 4 x ^ { 5 } + 4 x ^ { 4 } + 3 x ^ { 3 } - x ^ { 2 } - 5 x + 4$

question 157

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.
- $f ( x ) = x ^ { 6 } + 4 x ^ { 5 } + 4 x ^ { 4 } + 3 x ^ { 3 } - x ^ { 2 } - 5 x + 4$

• A) 6; 2 or 0 positive zeros; 5, 3, or 1 negative zeros
• B) 6; 3 or 1 positive zeros; 4, 2, or 0 negative zeros
• C) 6; 2 or 0 positive zeros; 4, 2, or 0 negative zeros
• D) 6; 4, 2, or 0 positive zeros; 2, or 0 negative zeros

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Definitions:

Standard Error

A statistic that measures the dispersion of sample means around the population mean, often used to estimate the precision of sample statistics.

Regression Line

A straight line that best fits the data in a linear regression analysis, representing the relationship between the independent and dependent variables.

Slope

The measure of the steepness or incline of a line, indicating the rate at which the y-value changes relative to the x-value.

Prediction Interval

A prediction of the range within which future data points are expected to lie, based on current observations, with a specified level of confidence.