Saturday, June 23, 2012

Polynomial and its Zeroes

A polynomial in one variable is an expression of the form: p(x) = anxn+ an-1xn-1+……..+ a2x2 + a1x + a0 , where an ≠ 0 and an …. a0 are real numbers , and n is a non-negative number.
Following are the important points about this definition 
  • The numbers a0, a1,……… an are called the coefficients of the polynomial.
  • The degree of the polynomial p is n, the highest power of x 
  • A polynomial is linear , quadratic or cubic if its degree is 1,2 or 3 respectively.
  • a is a zero of the polynomial if and only if p(a) = 0. 
  • Zeroes of a polynomial p(x) can be obtained by factorizing it. 
  • Graphically zero of a polynomial is the x – coordinate of point(s) where the graph of a polynomial intersects with x – axis. 
  • A polynomial of degree n has atmost n zeroes.
 Enter any polynomial of one variable in the input box below.
This is a Java Applet created using GeoGebra from - it looks like you don't have Java installed, please go to


  1. Good Job Sir , This will help many people .

  2. The degree of a polynomial is the highest degree of its terms, when the polynomial is expressed in canonical form. The degree of a term is the sum of the exponents of the variables that appear in it.