Why Does a Function Defined by a Polynomial of Degree

question 140

Essay

Why does a function defined by a polynomial of degree five with real coefficients have either 1, 3, or 5 real zeros
counting multiplicities?

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Definitions:

Social Values Orientation

An individual's preference regarding the allocation of resources between themselves and others, indicating their inclination towards cooperation, altruism, or selfishness.

Values Orientations

Cultural or psychological frameworks that guide individual or group behaviors and perceptions regarding what is important in life.

Conflict Episodes

Specific instances of conflict within interpersonal relationships or among groups, characterized by disagreement and discord.

Fundamental Attribution Error

The tendency to overemphasize personality-based explanations for behaviors observed in others while underemphasizing the role of situational influences.