polinóm

A polinóm is a mathematical expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. A typical polinóm in one variable, say x, can be written as a sum of terms, where each term is of the form ax^n, with 'a' being the coefficient and 'n' being the non-negative integer exponent. For example, 3x^2 + 2x - 5 is a polinóm. The highest exponent of the variable in a polinóm is called its degree. In the example 3x^2 + 2x - 5, the degree is 2.

Polinóms are fundamental in algebra and are used in many areas of mathematics and science. They can have one or more variables. A polinóm with one variable is called a univariate polinóm, while a polinóm with multiple variables is called a multivariate polinóm. The terms 'polinóm' and 'polynomial' are often used interchangeably. Basic examples include linear polinóms (degree 1), quadratic polinóms (degree 2), and cubic polinóms (degree 3). The study of polinóms involves their factorization, finding their roots (values of the variable for which the polinóm evaluates to zero), and their graphical representation.