A Polynomial M(x) Is Called __________ If and Only If

question 25

Short Answer

A polynomial m(x) is called __________ if and only if m(x) cannot be expressed as a product of two polynomials, both of degree lower than that of m(x).

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Definitions:

Electron Density

A measure of the probability of an electron being present in a specific location around an atom or molecule, important in determining molecular shape and bond strength.

Electron Wave

A quantum mechanical description of electrons as wave-like particles, significant in explaining the behavior of electrons in atoms and molecules.

π Bonds

Covalent chemical bonds resulting from the sidewise overlap of two atomic p orbitals, characterized by electron density above and below the axis of the bonded atoms.

π Bonds

Pi bonds occur when two lobes of an orbital on one atom overlap two lobes of an orbital on another atom and electron density is concentrated above and below the plane of the nuclei.