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From the graph given below, how many zeroes does $y = p (x)$ have?

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5

3

4

answer is D.

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Detailed Solution

Given, a graph:
Question Image

We need to find the number of zeroes.
Zeros of

y = p (x)

can be obtained by equating

y = p (x) = 0 .

So, finding the locations where

y = 0

occurs.
The number of zeroes is determined by the intersection with the

x -

axis.
In the above graph,

p (x)

intersects the

x -

axis at four different points.
Thus,

p (x)

has

4

zeroes.
Hence, the correct option is 4.

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