# polynomial

A polynomial is a mathematical expression made up of indeterminates, or variables, and their coefficients using only the operations of addition, subtraction, multiplication, division, and *non-negative* integer exponentiation.

The form of a single indeterminate, aka *univariate*, polynomial is:

This can be condensed using a summation:

The exponent on an indeterminate is the called indeterminate’s *degree*.

In *multivariate* polynomials, polynomials with more than one indeterminate, an individual term’s degree is the sum of its indeterminate’s degrees. (For a univariate polynomial, a tern’s degree is equal to the indeterminate’s degree.)

The degree of the polynomial is the degree of the term with the largest degree and non-zero coefficient.

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