Find a Polynomial of Degree 3 with Real Number Coefficients $8+2 i \text { and } 5$

question 23

Short Answer

Find a polynomial of degree 3 with real number coefficients that has $8+2 i \text { and } 5$ as zeros.

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Definitions:

Configuration

The fixed arrangement of atoms in a molecule that cannot be changed without breaking chemical bonds, different from conformation.

Asymmetric Carbon

A carbon atom bonded to four different groups or atoms, leading to chirality and optical activity in molecules.

Optical Activity

The ability of a substance to rotate the plane of polarization of polarized light, a property of chiral molecules.

Specific Rotation

A measure of the degree to which a chiral compound can rotate plane-polarized light, specific to the compound's concentration and temperature.