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Question

The graph of a polynomial P(x) is as shown.
Find the number of zeroes for the given graph of the polynomial.


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Solution

Points where the graph y = p(x) cuts or touches the x-axis are known as the zeroes of the polynomial.

The number of zeroes of a polynomial is equal to the number of times the graph y = p(x) cuts or touches the x-axis.

In this question, the graph is not intersecting the x-axis. So, the polynomial has no zeroes.
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Zeroes of a Polynomial
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