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Byju's Answer
Standard X
Mathematics
Number of Zeros
The graph of ...
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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In the given figure, the graph of the polynomial p(x) is shown. The number of zeros of p(x) is
(a) 1
(b) 3
(c) 2
(d) 4