# Polynomials

**Polynomial:-** An algebraic expression consisting of one or more terms comprising of constants and / or variables and non-negative exponents of the variables.

e.g. x + 1, x^{2} + 2, y^{2} - 2y + 1

**Zero polynomial:-** The constant polynomial 0 is called the zero polynomial.

**Constant polynomials:- **Polynomials which do not have terms with variables are termed as constant polynomials e.g. 2, -3, 14.

**Polynomials in one variable:- **e.g. x^{2} - 2, y^{3} + 3y - 4

Each term of a polynomial has a **coefficient**. So in x^{2} - 2 the coefficient of x^{2} is 1, and that of x^{0} is -2.

**Monomials:-** Polynomials having only one term.

**Binomials:-** Polynomials having only two terms are called binomials.

**Trinomials:-** Polynomials having only three terms are called trinomials.

**Degree of a polynomial:-** The degree of a non-zero constant polynomial is zero.

**Linear polynomial:-** A polynomial of degree one is called a linear polynomial.

**Quadratic polynomial:- **A polynomial of degree two is called a quadratic polynomial.

**Cubic polynomial:-** A polynomial of degree three is called a cubic polynomial.

**Degree of zero polynomial:-** The degree of zero polynomial is not defined.