For polynomial  p(x) ,

If  p(a) = 0

Then x = a is the zero of polynomial

 

Let us take an example

 

Let  p(x) = 5x 3 − 2x 2 + 3x  − 6

For x = 1

    p(1) = 5(1) 3 − 2(1) 2 + 3(1)  − 6

            = 5 − 2 + 3 − 6

    = 5 + 3 − 2 − 6

    = 0

 

So p(1) = 0 for x = 1

∴ x = 1 is a zero of p(x)

 

Next, we will learn how to find zeroes of a polynomial

  1. Chapter 2 Class 9 Polynomials
  2. Concept wise
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.