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Does There Exist a Polynomial of Degree 3 with Real

question 134

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Does there exist a polynomial of degree 3 with real coefficients that has zeros 5 , - 5, and i ?


Definitions:

Substantial Evidence

Evidence that is adequate to support a conclusion or justify a decision, often used in legal and regulatory contexts to indicate a reasonable level of proof.

Hindsight Bias

The tendency to believe, after an event has occurred, that one would have predicted or expected the outcome, often referred to as the "I-knew-it-all-along" phenomenon.

Self-fulfilling Prophesy

A prediction that directly or indirectly causes itself to become true, by the very terms of the prophecy itself, due to positive feedback between belief and behavior.

Rationalization

A defense mechanism where logical, acceptable explanations are given for behaviors that are actually driven by subconscious motives.

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