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, x2 + 2, y2 - 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. x2 - 2, y3 + 3y - 4
Each term of a polynomial has a coefficient. So in x2 - 2 the coefficient of x2 is 1, and that of x0 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.