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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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