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You are here: Home / NCERT Solutions / Class 10 / Maths / Chapter 2 Polynomials / Exercise 2.1

Exercise 2.1

Last Updated on April 6, 2021 By Mrs Shilpi Nagpal Leave a Comment

NCERT Solutions for Class 10 Maths
Chapter 2 Polynomials Exercise 2.1

Page 28


1. 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.

Chapter 2 Polynomials Exercise 2.1

Answer :

Graphical method to find zeroes :-

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

(i) 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.

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

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

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

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

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

Filed Under: Chapter 2 Polynomials, Class 10, Maths, NCERT Solutions

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