Class 10 Maths Chapter 2 Polynomials Exercise 2.1 NCERT Solutions

Exercise 2.1 in Class 10 Maths Polynomials shifts the focus from numbers to graphical understanding. This topic is an important part of the CBSE Class 10th syllabus, where you will learn how polynomials behave when plotted on a graph and that the points where the graph cuts the x-axis represent the Zeros of the Polynomial. 

Working through these questions will help you build a stronger connection between equations and their graphs. It also improves interpretation skills, which are important for this chapter as well as for higher-level mathematics as well.

NCERT Solutions for Class 10 Maths Chapter 2 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.

How to Score Better in Class 10 Maths Exam?

Scoring well in Class 10 Maths requires clear concepts, regular practice, and a focus on accuracy and answer presentation. To score better, you should:

• Build Strong Concepts:

Focus on understanding concepts in Class 10 Maths instead of memorising steps, as this helps in solving application-based questions.

• Practise Regularly:

Solve all CBSE Class 10 NCERT questions multiple times to strengthen your basics and improve accuracy.

• Revise Formulas Daily:

Regular revision of PW Class 10 Maths MIQs helps avoid calculation mistakes in exams.

• Solve Previous Year Papers:

Practising CBSE Class 10 Maths previous year questions (PYQs) helps you understand question patterns and important topics.

• Attempt Sample Papers:

Solving PW Class 10 Maths sample papers improves time management and gives you exam-like practice.

• Work on Weak Areas:

Focus on difficult topics from the Class 10 Maths syllabus instead of skipping them to avoid losing marks 

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