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What are Zeroes of Polynomial? - Definition - Teachoo - Verifying Zero

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Zeroes of Polynomial - Part 2
Zeroes of Polynomial - Part 3

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Zeroes of Polynomial - Part 4

Zeroes of Polynomial - Part 5

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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

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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.