Polynomials

Posted in Terms Defined

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.