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Question

The graph of y = p(x) are given in figure below, find the number of zeroes of p(x), in each case.

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Solution

As we know the number of zeroes is the point where the line cut on the x - axis.
In figure (i) The line does not cut on x- axis. So, number of zeroes is 0.
In figure (ii) The line cuts on x- axis at one point. So, number of zeroes is 1.
In figure (ii) The line cuts on x- axis 3 at three points. So, number of zeroes is 3.
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