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.
- Polynomials Class 10 Ex 2.1
- Polynomials Class 10 Ex 2.2
- Polynomials Class 10 Ex 2.3
- NCERT Solutions for Class 10 Maths Chapter 2 Polynomials Ex 2.4
| 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.
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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