Page 1 - Lesson Note-Types of Polynomials Ch-2
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SAI International School
                                                     CLASS - IX

               Mathematics
               CHAPTER-2: POLYNOMIALS              Lesson 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
                     3
                           2
               1. 4x  + 3x  + x +3 is a polynomial in variable x.
                           -1
                     2
               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), g(x) etc.

               •  Example:
                         2   + 5   − 3
                          2
                                               2
               •  In the above polynomial 2x , 5x and −3 are called the terms of the polynomial.
                                                       2
               •  2 and 5 are the coefficient of the x  and x respectively.
               •  x is the variable.
               •  -3 is the constant term which has no variable.


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