Polynomials - Solutions

 CBSE Class–10 Mathematics

NCERT solution
Chapter - 2
Polynomials -  Exercise 2.1

1. The graphs of y=p(x) are given to us, for some polynomials p(x). Find the number of zeroes of p(x), in each case.

(i)

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(ii)

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(iii)

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(iv)

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(v)

http://beta.topperlearning.com/tpadmin/app/webroot/js/tinymce/jscripts/tiny_mce/plugins/imagemanager/files/z961.GIF

(vi)

http://beta.topperlearning.com/tpadmin/app/webroot/js/tinymce/jscripts/tiny_mce/plugins/imagemanager/files/z961.GIF

Ans. (i) The given graph does not intersects x-axis at all. Hence, it does not have any zero.

(ii) Given graph intersects x-axis 1 time. It means this polynomial has 1 zero.

(iii) Given graph intersects x-axis 3 times. Therefore, it has 3 zeroes.

(iv) Given graph intersects x-axis 2 times. Therefore, it has 2 zeroes.

(v) Given graph intersects x-axis 4 times. It means it has 4 zeroes.

(vi) Given graph intersects x-axis 3 times. It means it has 3 zeroes.