Determine the Number of Possible Positive and Negative Real Zeros $$f ( x ) = - 8 x ^ { 7 } - 7 x ^ { 4 } - 6 x ^ { 3 } + 4 x ^ { 2 } + 6 x + 5$$

question 5

Multiple Choice

Determine the number of possible positive and negative real zeros for the given function.
- $$f ( x ) = - 8 x ^ { 7 } - 7 x ^ { 4 } - 6 x ^ { 3 } + 4 x ^ { 2 } + 6 x + 5$$

• A) Positive: 1; Negative: 4 or 2
• B) Positive: 4 or 2; Negative: 1
• C) Positive: 4; Negative: 1
• D) Positive: 1; Negative: 4

---

Definitions:

Payoff Table

A decision-making tool used in business and economics to display the outcomes (or payoffs) of different strategies or decisions under various states of nature.

Expected Value Criterion

Represents a decision-making approach that utilizes the weighted average of all possible outcomes, considering the probabilities of each outcome to assess the best decision under uncertainty.

EVPI

Expected Value of Perfect Information, a concept in decision theory that quantifies how much a decision maker would be willing to pay for information that would lead to a perfectly informed decision.

Decision Tree

A graphical representation of choices and their potential outcomes, including chance event outcomes, resource costs, and utility.