Use Synthetic Division to Decide Whether the Given Number K $k = 3 ; f ( x ) = - 7 x ^ { 3 } + x ^ { 2 } - 2 x + 8$

question 75

True/False

Use synthetic division to decide whether the given number k is a zero of the given polynomial function.
- $k = 3 ; f ( x ) = - 7 x ^ { 3 } + x ^ { 2 } - 2 x + 8$

---

Definitions:

Feasible Allocation

In economics, it refers to the distribution of resources or goods in such a manner that it is possible given the available supply.

Second Welfare Theorem

An economic principle stating that under certain conditions, any efficient allocation of resources can be attained through a competitive equilibrium, assuming perfect markets and price flexibility.

Pareto Optimal

A distribution state of resources where trying to improve the status of one individual inevitably leads to the decline of another's.

Competitive Equilibrium

A state in a market-based economy where supply equals demand, and prices are stable, facilitating the optimal distribution of resources.