>>10900801A mathematical expression made up of things called coefficients and variables, which are multiplied and added together in particular ways.
-The coefficients are simply "objects", most commonly complex numbers or a relevant subset thereof, but the coefficients may be generalized to be other objects, provided that the analogous (but distinct) arithmetic operations are defined.
-Commonly, polynomials with a single variable (univariate polynomials) are discussed, but polynomials may also have multiple variables (multivariate polynomials).
-Polynomials are simply expressions, not equations, relations, statements with a truth value, etc. When a given polynomial is set equal to zero, it is called a polynomial equation, which then introduces the question: for which values of the variable(s) is the polynomial true? These (ordered n-tuples of) variables are called roots of the polynomial.
