What is a polynomial in math?

A polynomial in mathematics is an expression consisting of variables raised to non-negative integer powers, combined using addition, subtraction, and multiplication. The general form of a polynomial in one variable (x) is given by (a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0), where (a_n, a_{n-1}, ..., a_0) are coefficients and (n) is a non-negative integer representing the degree of the polynomial. Polynomials can be classified based on their degree, such as linear (degree 1), quadratic (degree 2), and cubic (degree 3). They are fundamental in algebra and are used in various fields of mathematics and applied sciences.