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

Class 10

NCERT solutions for class 10 maths chapter 2 ex 2.1 Prepared by subject experts of eSaral. NCERT solutions for class 10 maths ex 2.1 Polynomials deals with the questions related to the polynomial equation in one variable and its degrees. NCERT solution for ex 2.1 class 10 maths chapter 2 consists of one Graph-based Question with 6 Sub-divisions. 

In this exercise, graphs of a polynomial have been illustrated and students must identify the number of the zeros of that polynomial in the graph. This will assist children in recognizing the degree of a given graph, as well as comprehending the geometrical significance of the given number. This will assist students in recognizing the degree of a polynomial simply by viewing the graph, as well as in comprehending the geometric meaning behind the given polynomial. 

A free PDF of the exercise 2.1 in the class 10 maths NCERT solutions chapter 2 Polynomials is provided on eSaral. You can download the PDF and practice the questions of ex 2.1 anytime.

Topics Covered in Exercise 2.1 Class 10 Mathematics Questions

NCERT solutions for class 10 maths chapter 2 Ex 2.1 include the following topics:


Geometrical Meaning of the Zeroes of a Polynomial

  1. Geometrical Meaning of the Zeroes of a Polynomial - The polynomial's zero is the x coordinate of the point on the graph where the graph intersects the x axis. if (k, 0) is the point at which the p (x) polynomial intersects the x-axis, then k is the zeroes of the polynomial.

Linear polynomials intersect at a maximum of one point on the x axis of the graph. Thus, linear polynomials have a maximum value of zero.

The graph of a quadratic polynomial intersects the x-axis at a maximum of two points. Therefore, a quadratic polynomial can only have a maximum of two zeroes. In that case the graph has a parabola shape. The shape of the parabola of a quadratic polynomial ax2 + bx + c, a ≠ 0 depends on a.

If a > 0, then the parabola opens upwards.

If a < 0, then the parabola opens downwards.

Geometrically a quadratic polynomial can have either two different zeroes, two equal zeroes, or no zeroes at all. This shows that there are almost two zeros in a quadratic polynomial.

The graph of a cubic polynomial intersects the x-axis at a maximum of three points. A cubic polynomial has a maximum of three zeroes.

Tips for Solving Exercise 2.1 Class 10 Chapter 2 Polynomials

You can get proper understanding of concepts used in questions of ex 2.1 by learning the tips provided here for solving exercise 2.1.

  1.  NCERT solutions class 10 maths chapter 2 exercise 2.1 Polynomials are easy to learn if you consistently practice the questions along with the NCERT solutions based on the topics such as comparison of the coefficient, product of the polynomial and geometrical meaning of zeroes of a polynomial.

  2. The concept of zeroes of the polynomial can be easily understood with the help of a graph as explained by our mathematics team of eSaral.

  3. Exercise 2.1 NCERT solutions class 10 maths chapter 2 can be improved if students take detailed notes and study graphs of linear polynomial, quadratic polynomial, cubic polynomial. This will help students to visualize the concept and draw graphs for 'n' degree polynomials, where 'n' can be any natural number.

Importance of Solving Ex 2.1 Class 10 Maths Chapter 2 Polynomials

Once you have solved the questions from ex 2.1 you will understand the importance of these questions for CBSE class 10 maths exam.

  1. Using the step-by-step solutions provided by our subject specialists, you'll be able to achieve higher scores.

  2. Using these NCERT solutions, you'll be able to quickly and easily answer and review the questions in ex 2.1.

  3. This will help you feel more confident when you have to sit for the CBSE class 10 board exams.

  4. The NCERT solutions include all the essential questions of ex 2.1 from the exam point of view.

Frequently Asked Questions

Question 1. How to find the number of zeroes of a given polynomial equation ?

Answer 1. Polynomial Equations have variables whose values are expected to be the largest. The zero of a polynomial equation is the value where the graph of the equation intersects with the X-axis of the graph. To find the zeros of a polynomial equation, for example: P(x) is a polynomial equation, put P(x)=0 and solve for x. 

Question 2. What will I learn from the ex 2.1 in class 10 maths chapter 2 Polynomials ?

Answer 2. Exercise 2.1 in Class 10 chapter 2 polynomials will provide students with an opportunity to gain an understanding of the geometric representation of linear, the geometrical meaning of the zeros of the polynomial and quadratic polynomial. The exercise will be provided to students to find the number of zeros of p(x) for a given graph representing a polynomial. For further information, students are encouraged to refer to the relevant NCERT solutions provided by experts of eSaral.



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