Quadratic equations and cubic equations
are examples of polynomials.
A polynomial in $x$ is of the form:

$p(x)=ax^n+bx^{n-1}+cx^{n-2}+...+px+q,$ where $a\ne0$

The Fundamental Theorem of Algebra says that solving $p(x)=0$ will give $n$ roots, some (or all) of which might be complex (see complex number), although some may be repeated roots. For example, $x^2-2x+1=0$ has two roots, but both are equal to 1.

See also Roots of Polynomials

Root	(none)			AGentleIntroductionToNPC BasinOfAttraction BirthdayProblem Calculus ChainRule CoDomainOfAFunction CommutativeOperation CubeRoot DifferentialCalculus DomainOfAFunction EquationOfALine EulerCycle EulersNumber EvaristeGalois Factorial FermatsLastTheorem GraphTheory GroupTheory HolomorphicFunction HyperbolicFunction ImageOfAFunction IntegrationByParts InverseFunction IrrationalNumber LinearFunction Logarithm NewtonsMethod OrdinaryDifferentialEquation PartialDifferentialEquation PiIsIrrational PierreDeFermat PolarRepresentationOfAComplexNumber RangeOfAFunction RealNumber RiemannHypothesis RiemannSurface RiemannZetaFunction RulerAndCompass SquareRoot TimeComplexity TrigonometricFunction TypesOfNumber
↓	↓		↓	↓
FundamentalTheoremOfAlgebra RootsOfPolynomials			AGentleIntroductionToTimeComplexity AlgebraicGeometry AlgebraicNumber CubicPolynomial DifferentiatingPolynomials DiophantineEquation FactorTheorem Function GaloisTheory HamiltonCycle IntegralCalculus MathematicsTaxonomy QuadraticPolynomial RemainderTheorem TranscendentalNumber
			↓
		⇌	You are here Polynomial
			↓
			ComplexNumber
↓	↓		↓	↓
Divisor FactorTheorem Root	ComplexConjugate RealNumber			AddingComplexNumbers ArgandDiagram CategoryMetaTopic ComplexPlane DividingComplexNumbers Euler ImaginaryNumber MultiplyingComplexNumbers PolarRepresentationOfAComplexNumber

Local neighbourhood - D3

Last change to this page
Full Page history
Links to this page

Edit this page
(with sufficient authority)
Change password

Recent changes
All pages
Search

Polynomial

Navigation

You are here

Local neighbourhood - D3