Find a Polynomial of Degree $4$ , with Integer Coefficients That Has Zeros Of

question 109

Essay

Find a polynomial of degree $4$ , with integer coefficients that has zeros of $3 i$
and $2$ , with $2$ a double zero. (There are many possibilities.)

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Definitions:

Stanley Milgram

A psychologist best known for his seminal research on obedience to authority, which demonstrated that people are willing to obey authority figures to a surprising degree, even when asked to perform actions conflicting with their personal conscience.

Obedience

Compliance with orders or commands given by authority figures.

Agents of Destruction

Factors or entities that cause damage or destruction, potentially in various contexts including environmental, social, or physical.

Group Pressure

The influence exerted by a group that encourages individuals to change their attitudes, values, or behaviors to conform to group norms.