Find a Polynomial $P$ Of Degree $5$ , with Integer Coefficients, That Has Zeros Of

question 136

Essay

Find a polynomial $P$ of degree $5$ , with integer coefficients, that has zeros of $i$ and $2$ , with $i$ being a zero of multiplicity $2$ , and $P$ having a leading coefficient of $2$ .

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Definitions:

Guilt

A cognitive or emotional state resulting from the recognition that one has caused harm or violated a moral standard.

Practiced Liars

Individuals who have developed a skill in deceiving others through falsehoods, often doing so with ease and without guilt.

Polygraph Machine

A device used to measure and record physiological indicators such as blood pressure, pulse, and respiration while a person is asked questions, purportedly to detect lies.

Tensing Muscles

The act of contracting one's muscles tightly, often used as a relaxation technique by progressively tensing and then relaxing different muscle groups.