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

• 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.

• Field automorphismRelated: Applying a field automorphism to coefficients carries polynomial roots to other roots.

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

• Leopold KroneckerRelated: Kronecker studied algebra through polynomials and their roots.

• 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.

• Runge's theoremRelated: Polynomials suffice when the compact set's complement is connected.

• Zero of a functionRelated: Polynomial zeros are roots of a particularly structured class of functions.

• 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.

• Hadamard factorization theoremRelated: The logarithm of the residual factor is a polynomial when the original function has finite order.

• 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.

• Sturm's theoremNarrower topic: The theorem applies to real polynomials and constructs its sequence from their coefficients.

• Al-KarajiRelated: His work treated expressions in powers of an unknown as objects for calculation.

• DiscriminantNarrower topic: A polynomial’s roots and coefficients determine its polynomial discriminant.

• Gauss–Lucas theoremNarrower topic: The theorem arose within the broader study of polynomial equations and their roots.

• Jia XianNarrower topic: Root extraction can be framed as finding values that satisfy polynomial equations.

• Nth rootNarrower topic: The equation xⁿ = a is a polynomial equation whose solutions are nth roots of a.

• Term (mathematics)Narrower topic: Polynomials are organized as sums of terms.

• Budan's theoremNarrower topic: Budan's theorem applies to polynomial functions and their derivative sequences.

• Complex conjugate root theoremNarrower topic: The theorem applies to polynomial roots, with the coefficient restriction selecting its guarantee.

• Even and odd functionsNarrower topic: A polynomial is even or odd according to the powers that have nonzero coefficients.

• Matching polynomialNarrower topic: The matching counts become coefficients of a polynomial in one variable.

• Trinomial (algebra)Narrower topic: A trinomial is a polynomial with exactly three nonzero terms.

• Abel's binomial theoremNarrower topic: The theorem is a finite equality between polynomials.

• Cubic functionNarrower topic: Cubic functions are formed by evaluating a polynomial at each input.

• Mergelyan's theoremBroader topic: Polynomials are the approximating functions whose uniform density the theorem establishes.

• Zhu ShijieNarrower topic: The equations Zhu's methods solve are expressed as polynomials.

• Agrawal's conjectureNarrower topic: The conjecture compares two polynomials by their coefficients modulo n.

• Axiom (computer algebra)Related: Polynomial arithmetic is a basic symbolic task supported by Axiom’s algebraic domains.

• Casas-Alvero conjectureNarrower topic: The conjecture generalizes a question about a polynomial and its derivatives.

• Friedlander–Iwaniec theoremNarrower topic: The primes in the theorem arise as values of a specific two-variable polynomial.

• Niven's theoremNarrower topic: Polynomial equations connect rational-angle trigonometric values to algebraic-number constraints.