polinómok

A polinóm, or polynomial, 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 single term is known as a monomial, and a sum of terms is called a polynomial. The terms in a polynomial are typically ordered by their degree, from highest to lowest. The degree of a term is the sum of the exponents of its variables. The highest degree of any term in a polynomial is called the degree of the polynomial itself.

For example, the expression 3x² + 2x - 5 is a polynomial. It has three terms: 3x², 2x, and -5. The degrees of these terms are 2, 1, and 0 respectively. Therefore, the degree of this polynomial is 2. The coefficients are 3, 2, and -5. Polynomials can have one or more variables. A polynomial with one variable is often written in the form a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0, where a_i are the coefficients and x is the variable.

Polynomials are fundamental in algebra and have wide-ranging applications in various fields, including calculus, engineering, economics, and computer science. They are used to model relationships, approximate functions, and solve equations. The study of polynomials involves understanding their roots (values of the variable that make the polynomial equal to zero), factorization, and graphing.