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

• Finite fieldRelated: Irreducible polynomials construct finite fields larger than their prime subfields.

• Power seriesCompared with: A polynomial terminates, whereas a power series has infinitely many terms.

• 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.

• Linear combinationBroader topic: A polynomial is a linear combination of monomials when its coefficients are fixed.

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

• AlgebraRelated: Polynomial equations are a major class of problems studied and solved by algebra.

• 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.

• Positional notationRelated: A positional numeral can be evaluated like a polynomial in its base.

• 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.

• Entire functionBroader topic: Polynomials are entire and form the simplest growth-controlled examples.

• 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.

• Möbius transformationCompared with: A polynomial Möbius map must be affine; a nonzero denominator term introduces a pole.

• 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.

• MultisetRelated: A polynomial’s monomials can be viewed as a multiset of variable factors.

• 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.

• Lindemann–Weierstrass theoremRelated: Algebraicity is defined by being a root of a polynomial over the rationals.

• 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.

• Complex conjugateRelated: Real-coefficient polynomials give conjugate roots whenever they have nonreal roots.

• Imaginary unitRelated: The equation x² + 1 = 0 has no real root but has roots involving i.

• MonomialNarrower topic: Polynomials are built by adding monomials.

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

• PowerCompared with: Unlike a single power, a polynomial combines multiple powered terms by addition.

• 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.

• Algebraic expressionBroader topic: Polynomials are a structured subset of algebraic expressions.

• Algebraic identityBroader topic: Polynomial identities are a central case with especially simple domain conditions.

• 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.

• Algebraically closed fieldRelated: The closure condition quantifies over every nonconstant polynomial over the field.

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

• François VièteRelated: Viète used letters to formulate general relationships among polynomial coefficients and roots.

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