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The 92 pages that link to Polynomial, each with the reason it gives.

• Fundamental theorem of algebraNarrower topic: The theorem applies to every nonconstant polynomial with complex coefficients.

• Binomial theoremNarrower topic: The theorem gives a structured polynomial expansion of a binomial power.

• Algebraic numberNarrower topic: Integer-coefficient polynomials provide the equations whose roots define algebraic numbers.

• Quadratic equationNarrower topic: A quadratic equation sets a degree-two polynomial equal to zero.

• Polynomial interpolationNarrower topic: The interpolant belongs to this family of functions.

• Characteristic polynomialNarrower topic: The characteristic polynomial is a polynomial in λ.

• Évariste GaloisNarrower topic: Galois studied when polynomial equations can be solved by radicals.

• Rational functionNarrower topic: The numerator and denominator are polynomials.

• Transcendental numberNarrower topic: Transcendence asks whether a number makes some rational-coefficient polynomial equal zero.

• CoefficientNarrower topic: Polynomial terms each have coefficients, which determine their contribution to the expression.

• Cyclotomic polynomialNarrower topic: Cyclotomic polynomials are a specialized family defined by their complex roots.

• Galois theoryNarrower topic: Root equations provide the concrete problems that field extensions and their symmetries resolve.

• Polynomial factorizationNarrower topic: Factorization applies to polynomials and preserves the expression as a whole.

• Polynomial rootNarrower topic: A root is defined by evaluating this expression and obtaining zero.

• Splitting fieldNarrower topic: The polynomial determines which roots the splitting field must contain.

• Algebraic closureNarrower topic: The defining condition asks whether every nonconstant polynomial over the field has a root.

• Chebyshev polynomialsNarrower topic: Each Chebyshev sequence consists of polynomials with a specific degree and normalization.

• Polynomial equationNarrower topic: Polynomial equations are built by setting polynomial expressions equal.

• Completing the squareNarrower topic: A quadratic polynomial is the expression the method reorganizes.

• Polynomial degreeNarrower topic: Degree is a property assigned to polynomials and their terms.

• Polynomial functionNarrower topic: A polynomial function is obtained by evaluating a polynomial expression at each input.

• Algebraic curveNarrower topic: Polynomials supply the equations whose shared solutions form an algebraic curve.

• MonomialNarrower topic: Polynomials are built by adding monomials.

• Multiplicity of a rootNarrower topic: Multiplicity describes how a polynomial factors around one of its roots.

• Quadratic formulaNarrower topic: A quadratic equation is built by setting a degree-two polynomial equal to zero.

• Weierstrass approximation theoremNarrower topic: These are the approximating functions guaranteed by the theorem.

• Charles HermiteNarrower topic: The contradiction in Hermite’s proof depends on controlling polynomial expressions in e.

• Cubic equationNarrower topic: A cubic equation is a polynomial equation of degree three.

• Polynomial timeNarrower topic: Its growth rates define the running-time bounds called polynomial.

• Rational root theoremNarrower topic: The theorem applies to polynomials whose coefficients are integers.

• Taylor polynomialNarrower topic: A Taylor polynomial is a polynomial with coefficients constrained by derivatives.

• Vieta's formulasNarrower topic: Vieta's formulas connect a polynomial's coefficients to the roots of its linear factors.

• Factor theoremNarrower topic: The theorem applies to polynomial expressions and their values.

• Homogeneous polynomialNarrower topic: Homogeneous polynomials are a special kind of polynomial.

• Partial fraction decompositionNarrower topic: Numerators and denominators in a rational function are polynomials.

• Abel–Ruffini theoremNarrower topic: The theorem concerns roots of polynomial equations, not arbitrary equations.

• Falling factorialNarrower topic: Each fixed-order falling factorial is a polynomial in x.

• Lagrange interpolationNarrower topic: The interpolant belongs to this function family and is specified by its degree bound.

• Polynomial evaluationNarrower topic: Evaluation applies to this broader class of expressions.

• Solvability by radicalsNarrower topic: Solvability by radicals asks whether a polynomial’s roots have a particular kind of expression.

• Synthetic divisionNarrower topic: Its ordered coefficients are the data the procedure rearranges.

• Difference engineNarrower topic: Finite differences of suitable order become constant for polynomial functions.

• Horner's methodNarrower topic: Horner's method applies to polynomials by processing their coefficients in nested form.

• Quadratic functionNarrower topic: A quadratic function is the degree-two member of this broader family.

• Algebraic functionNarrower topic: Algebraic functions are defined by polynomial equations in the function value.

• Chromatic polynomialNarrower topic: Coloring counts across integers are captured by a single polynomial expression.

• Descartes' rule of signsNarrower topic: The rule applies to real polynomials written in descending powers of one variable.

• Multinomial theoremNarrower topic: The theorem is an identity between polynomials.

• Binomial (algebra)Narrower topic: A binomial is the two-term case of this broader kind of expression.

• Polynomial remainder theoremNarrower topic: The theorem applies to polynomials over suitable number systems.