How to find zeroes of polynomial?
For polynomial p(x) ,
If p(a) = 0
Then x = a is the zero of polynomial
So, to find zero,
We put p(x) = 0
And then find the value of x
An Example
Find zero of polynomial p(x) = x + 30
Given p(x) = x + 30
Putting p(x) = 0
x + 30 = 0
x = −30
So, x = −30 is a zero of polynomial p(x)
One more…
Find zeros of polynomial p(x) = x2 − 9
Given p(x) = x2 −9
Putting p(x) = 0
x2 − 9 = 0
x2 = 9
x = ±3
So, x = 3, −3 are the zeros of polynomial p(x)
Important Points
Important Points
Some important points about polynomials
A constant polynomial doesn’t have any zeros
A polynomial can have equal roots
Example – x2 − 2x + 1 has equal roots
Number of zeros of Polynomial is less than equal to its Degree

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.