Page 1 - Lesson Notes

SAI International School
CLASS - IX

Mathematics
CHAPTER-2: POLYNOMIALSLesson Notes-1

Definition of polynomial

Polynomial

Polynomial is an algebraic expression which includes constants, variables and
exponents. It is the expression in which the variables have only positive integral
powers.

Polynomial is an algebraic expression in which the powers of the variables are non-
negative integers.

Example
2
3
1. 4x + 3x + x +3 is a polynomial in variable x.
2
-1
2. 4x + 3x - 4 is not a polynomial as it has negative power.
3. 3x 3/2 + 2x – 3 is not a polynomial.
Expressions

Numeric Algebraic

 Numeric consist of numbers.
 Algebraic consist of both number and
variables.

 Polynomials are denoted by p(x), q(x) etc.
2
 In the above polynomial 2x , 3y and 2 are the terms of the polynomial.
2
 2 and 3 are the coefficient of the x and y respectively.
 x and y are the variables.

 2 is the constant term which has no variable.


Types of Polynomial based on number of terms:
1