Question

From the figure 2.10 find the number of zeros of y=p(x).

Answer 1

$Your \: answer$

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Number of zeroes :-

1 zeroes

No zero

3 zeroes

2 zeroes

4 zeroes

3 zeroes

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Answer 2

$\huge\star{\red{\underline{\underline{\mathbb{EXPLANATION:}}}}}$

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Graphical method to find zeroes:-

Total number of zeroes in any polynomial equation = total number of times the curve intersects x-axis.

• $\mapsto$In the given graph, the number of zeroes of p(x) is 0 because the graph is parallel to x-axis does not cut it at any point.

• $\mapsto$In the given graph, the number of zeroes of p(x) is 1 because the graph intersects the x-axis at only one point.

• $\mapsto$In the given graph, the number of zeroes of p(x) is 3 because the graph intersects the x-axis at any three points.

• $\mapsto$In the given graph, the number of zeroes of p(x) is 2 because the graph intersects the x-axis at two points.

• $\mapsto$In the given graph, the number of zeroes of p(x) is 4 because the graph intersects the x-axis at four points.

• $\mapsto$In the given graph, the number of zeroes of p(x) is 3 because the graph intersects the x-axis at three points.