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Concept# List of polynomial topics

Summary

This is a list of polynomial topics, by Wikipedia page. See also trigonometric polynomial, list of algebraic geometry topics.
Terminology
*Degree: The maximum exponents among the monomials.
*Factor: An expression being multiplied.
*Linear factor: A factor of degree one.
*Coefficient: An expression multiplying one of the monomials of the polynomial.
*Root (or zero) of a polynomial: Given a polynomial p(x), the x values that satisfy p(x) = 0 are called roots (or zeroes) of the polynomial p.
*Graphing
**End behaviour –
**Concavity –
**Orientation –
**Tangency point –
**Inflection point – Point where concavity changes.
Basics
*Polynomial
*Coefficient
*Monomial
*Polynomial long division
*Synthetic division
*Polynomial factorization
*Rational function
*Partial fraction
**Partial fraction decomposition over R

- Vieta's formulas *Integer-valued polynomial *Algebraic equation *Factor theorem *Polynomial remainder theorem

Official source

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