Binomial

In algebra, Binomials are polynomials that contains two terms that are monomials being either added or subtracted together.

Notable binomials

The difference of two squares is a binomial that contains a squared variable that is being subtracted by another squared variableː $x^{2}-y^{2}$ . This binomial is also the product of two linear binomials $a+b$ and $a-b$ .

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Polynomials and polynomial functions
By degree	Zero polynomial (degree undefined or −1 or −∞) Constant function (0) Linear function (1) Linear equation Quadratic function (2) Quadratic equation Cubic function (3) Cubic equation Quartic function (4) Quartic equation Quintic function (5) Sextic equation (6) Septic equation (7)
By properties	Univariate Bivariate Multivariate Monomial Binomial Trinomial Irreducible Square-free Homogeneous Quasi-homogeneous
Tools and algorithms	Factorization Greatest common divisor Division Horner's method of evaluation Resultant Discriminant Gröbner basis