NCERT Solutions for Class 10 Maths Chapter 2 Polynomials Ex 2.1

NCERT Solutions for Class 10 Maths Chapter 2 Polynomials Ex 2.1 is a part of NCERT Solutions for Class 10 Maths. Here we have given the NCERT Solutions for Chapter 2 Polynomials Class 10 Ex 2.1.

NCERT Solutions for Class 10 Maths Chapter 2 Polynomials Exercise 2.1 is available here. It contains solutions to all the questions present in Class 10 Maths NCERT Textbooks. These solutions are designed by our subject experts to help the students in their academics. All the questions and answers of NCERT Book of Class Low Math Chapter 2 are provided here free of cost for you.

Board CBSE
Textbook NCERT
Class Class 10
Subject Maths
Chapter Chapter 2
Chapter Name Polynomials
Exercise Ex 2.1
Number of Questions Solved 1
Category NCERT Solutions

NCERT Solutions for Class 10 Maths Chapter 2 Polynomials Ex 2.1

Page No: 28

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

NCERT Solutions for Class 10 Maths Chapter 2

Solution:
(i) The graph of P(x) does not cut the x-axis at all.
So, the number of zeroes is 0.
(ii) The graph of P(x) intersects the x-axis at only 1 point.
So, the number of zeroes is 1.
(iii) The graph of P(x) intersects the x-axis at 3 points.
So, the number of zeroes is 3.
(iv)  The graph of P(x) intersects the x-axis at 2 points.
So, the number of zeroes is 2.
(v) The graph of P(x)  intersects the x-axis at 4 points.
So, the number of zeroes is 4.
(vi) The graph of P(x) intersects the x-axis at 3 points.
So, the number of zeroes is 3.

Concept insight: Since the polynomial p(x) given here is a polynomial in the variable x, to find the number of zeros, we look at the number of points where the graph intersects or touches the x-axis, not the y-axis. .
At all these points where the graph intersects the x-axis, the value of the polynomial y = p(x) will be zero.

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