CBSE · Class 10 · Mathematics · PolynomialsDefine a polynomial and give an example of a linear polynomial in one variable.

A polynomial is an algebraic expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. The general form of a polynomial in one variable x is $p(x) = a_n x^n + a_{n-1} x^{n-1} + \dots + a_1 x + a_0$. A linear polynomial is a polynomial of degree 1. An example of a linear polynomial in one variable $x$ is $2x + 3$, where the highest power of the variable $x$ is 1, making it a first-degree expression.