Question:
The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.

Answer:

Total no of zeroes of a polynomial equation = the number of times the curve intersect x-axis

In this graph the number of zeroes of p(x) is 0, because the graph is parallel to x- axis and does not intersect at any point on x-axis.
In this graph the number of zeroes of p(x) is 1, because the curve intersects x-axis only at one point.
In this graph the number of zeroes of p(x) is 3, because the curve intersects x-axis at three points.
In this graph the number of zeroes of p(x) is 2, because the curve intersects x-axis at two points.
In this graph the number of zeroes of p(x) is 4, because the curve intersects x-axis at four points.
In this graph the number of zeroes of p(x) is 3, because the curve intersects x-axis at three points.

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Question:
The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.

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Question: The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.

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Question:
The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.