NCERT Solutions for Class 10 Maths Chapter 2 Polynomials Ex 2.1 - ApluseTopper.com

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

NCERT Solutions for Class 10 maths chapter 2 Polynomials is available here. It includes solutions to all the questions present in class 10 Maths NCERT textbooks. These solutions are prepared by our subject experts to help students in their academics. All questions and answers from the NCERT Book of class lo Math Chapter 2 are provided here for you for free.

• Polynomials Class 10 Ex 2.2
• Polynomials Class 10 Ex 2.3
• Polynomials Class 10 Ex 2.4

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.

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 variable x, so to find the number of zeroes, we look at the number of points where the graph intersects or touches the x-axis and not the y-axis.
At all these points where the graph intersects x axis the value of the polynomial y = p(x) will be zero.

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