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

question 97

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

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

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Definitions:

Average Fixed Cost

Average Fixed Cost is the fixed expenses of a company divided by the number of units produced, decreasing as production increases.

Marginal Product

The extra output or benefit received from using one more unit of a variable input.

Average Variable Cost

The total variable costs of production divided by the quantity of output produced; it varies with the level of output.

Average-Variable-Cost Curve

A graphical representation showing how average variable costs of production vary with the level of output, typically U-shaped due to economies and diseconomies of scale.