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How to find zeroes of polynomial? - Finding Zeroes of a polynomial

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How to find zeroes of polynomial? - Part 2

How to find zeroes of polynomial? - Part 3

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How to find zeroes of polynomial? - Part 4

How to find zeroes of polynomial? - Part 5

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How to find zeroes of polynomial? - Part 6

How to find zeroes of polynomial? - Part 7

 

 

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

 

Example :

p(x) = x + 30

Putting p(x) = 0

      x + 30 = 0

     x =   –30

So, x = −30 is a zero of polynomial p(x)

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Transcript

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

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.