The given graph represents the polynomial $p (x)$ . Find the number of zeros of the polynomial $p (x) .$

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0

2

1

3

answer is D.

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Detailed Solution

The given graph of a polynomial p(x) is,
Question Image

The points where a polynomial becomes zero overall are known as the zeros of the polynomial.
Graphically, the zeroes of a polynomial are those points that intersect the x-axis and so the number of zeroes of a polynomial is equal to the number of times a graph cuts the x-axis.
Here, the graph intersects the x-axis at three points, -2, 1, and 2.
Thus, the number of zeroes is three.
Hence, option 4 is correct.

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