# NCERT Solutions for Class 10 Maths Chapter 2 - Polynomials Exercise 2.1

NCERT Solutions for Class 10 Maths Chapter 2 Exercise 2.1 Polynomials provided here are prepared by our subject experts. These solutions are made in such a way that the students shall benefit from them. All the NCERT guidelines are followed while solving these. Not only this, but we have also made sure to review the solutions after solving them. Students using these NCERT Class 10 Solutions will be able to score well after studying them thoroughly.

A detailed explanation of Exercise 2.1 Polynomials Class 10, Topic â€“ The zeroes of quadratic polynomials and its relation to its coefficients is given. Alpha and beta are the two Greek letters used in this exercise which are considered the two zeroes of a polynomial. Students can understand the concepts using the NCERT Class 10 Maths Solutions here.

### Access Other Exercise Solutions of Class 10 Maths Chapter 2 â€“ Polynomials

Exercise 2.2 Solutions 2 Question (2 short)
Exercise 2.3 Solutions 5 Question (3 short, 2 long)
Exercise 2.4 Solutions 5 Question (2 short, 3 long)

### Access Answers to NCERT Class 10 Maths Chapter 2 â€“ Polynomials Exercise 2.1

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.

Solutions:

Graphical method to find zeroes:-

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

(i) In the given graph, the number of zeroes of p(x) is 0 because the graph is parallel to the x-axis and 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 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.

NCERT Solutions for Class 10 Maths Chapter 2 â€“ Polynomials Exercise 2.1 is the first exercise of Chapter 2 of Class 10 Maths. Polynomials are introduced in Class 9 and this is discussed in further detail in Class 10 by studying different cases of the geometrical meaning of the zeroes of a polynomial.

• Geometrical Meaning of the Zeroes of a Polynomial â€“ It includes one question with six cases.

### Key Advantages of NCERT Solutions for Class 10 Maths Chapter 2 â€“ Polynomials Exercise 2.1

• These NCERT Solutions will help you solve and revise exercise 2.1 NCERT questions.
• After going through the stepwise solutions given by our subject experts, you will be able to score more marks.
• It will help you to be confident while appearing for Class 10 CBSEÂ  board exams.
• It follows NCERT guidelines which help in preparing the students accordingly.
• It contains all the important questions from the examination point of view.