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  • Last Modified 27-10-2024

NCERT Solutions for Polynomials  Exercise 2.4 Class 10 Maths- Find Details Here

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Exercise 2.4 Class 10 Maths: Class 10 Maths Chapter 2 deals with Polynomials. It is crucial for students to practice all the questions in Exercise 2.4 Class 10 Maths, to improve their preparation. Polynomials in Class 10 is taught at the foundational level so that they can act as a base for students in higher classes. 

Exercise 2.4 Class 10 Maths NCERT Solutions is designed to make, solving questions easier for students. By practicing the solutions regularly from the initial stages, students can easily learn the concepts and master the NCERT questions in no time. Read further to know about Exercise 2.4 Class 10 Maths. 

Exercise 2.4 Class 10 Maths: An Overview

As students have already learnt the basic concepts of Polynomials in Class 9, they will have the flexibility to learn more complicated concepts of Polynomials such as the degree of Polynomials in CBSE Class 10. Students need to practice all the examples provided in the chapter on Polynomials in Class 10. 

Students can follow the solutions carefully. If students prepare well by solving Exercise 2.4 Class 10 Maths, this will improve their overall scores in Maths. Students can refer to the NCERT solutions to practice for the exam. It is advisable that the students refer to the exam pattern. Furthermore, in the NCERT Solutions for Ex 2.4 Class 10 Maths, students will get to learn how to solve quadratic polynomials.  and learn how to deal with the graphs too. 

Given below are the contents of Class 10 NCERT Solutions:

Exercise 2.1Introduction
Exercise 2.2Geometrical Meaning of the Zeroes of a Polynomial
Exercise 2.3Relationship between Zeroes and Coefficients of a Polynomial
Exercise 2.4Division Algorithm for Polynomials

Exercise 2.4 Class 10 Maths NCERT Solutions: PDF Download

Students can refer to Exercise 2.4 Class 10 Maths NCERT Solutions provided here. It is advisable that students download the PDF version so that they can prepare for the examination properly. Students should refer to the NCERT Solutions time and again to improve their preparation. Students must refer to each exercise thoroughly so that they can refer to the exercises thoroughly. 

Given below is the PDF for Polynomials Class 10 Exercise 2.2 that the students can refer to. Download it from the images given below:

NCERT Solutions for Class 10: All-Chapter PDF Download

Students in CBSE need to ensure that they follow the NCERT Solutions for Class 10 thoroughly to improve their preparation. Students can download the PDF from the given solution. Here we have provided the download links for each chapter in CBSE Class 10 Maths. The NCERT Solutions for Class 10 Maths Chapter 2 revolves around various exercises such as Exercise 2.1, Exercise 2.2 and so on. Students must refer to the NCERT solutions for each of the exercises. 

Given below are the download links for all chapters that the students must refer to for scoring higher marks in the examination. 

1st Chapter: Real Numbers
3rd Chapter: Pair of Linear Equations in Two Variables
4th Chapter: Quadratic Equations
5th Chapter: Arithmetic Progressions
6th Chapter: Triangles
7th Chapter: Coordinate Geometry
8th Chapter: Introduction to Trigonometry
9th Chapter: Some Applications of Trigonometry
10th Chapter: Circles
11th Chapter: Constructions
12th Chapter: Areas Related to Circles
13th Chapter: Surface Areas and Volumes
14th Chapter: Statistics
15th Chapter: Probability

NCERT Solutions for Polynomials: Chapter Summary

Students practicing Class 10 NCERT Solutions for Exercise 2.4 need to ensure that they follow all the points carefully. Given below is the chapter summary that all the students must refer to for scoring higher marks in the examination. 

1.Polynomials of degrees 1, 2 and 3 are called linear, quadratic and cubic polynomials

respectively.
2. A quadratic polynomial in x with real coefficients is of the form ax 2 + bx + c, where a, b, c

are real numbers with a ≠ 0.
3. The zeroes of a polynomial p(x) are precisely the x-coordinates of the points, where the

graph of y = p(x) intersects the x -axis.
4. A quadratic polynomial can have at most 2 zeroes and a cubic polynomial can have

at most 3 zeroes.
5. If α and β are the zeroes of the quadratic polynomial ax2 + bx + c, then

α + β = − b/a, αβ = c/a.
6. If α, β, γ are the zeroes of the cubic polynomial ax3 + bx2 + cx + d, then
α +β + γ = -(b/a)
αβ + β γ + γ α = c/a
And 
αβγ = d/a
7. The division algorithm states that given any polynomial p(x) and any non-zero
polynomial g(x), there are polynomials q(x) and r(x) such that
p(x) = g(x) q(x) + r(x),
where r(x) = 0 or degree r(x) < degree g(x).

Meaning and Applications

Since Polynomials is an important chapter, students must practice the NCERT solutions carefully. The applications for Polynomials are given as below:

  • The most famous Newtonian equation that describes the displacement of an object is an example of a polynomial. The equation is as follows: s = ut + ½at².
  • Statisticians use mathematical models, based on polynomials, to analyse and interpret data and arrive at required conclusions. In financial planning, polynomials are used to calculate the interest rate based on the principal amount and the number of years.
  • Polynomials are also used in Meteorology. From mapping weather patterns to tracing the paths of celestial objects, Polynomials are useful.
  • Many engineering careers also use polynomials. Aerospace, Mechanical and Electrical engineers are required to use polynomials for designing in their respective fields. Aerospace may require the designing of rockets while the mechanical field needs the designing of various motors. Voltage drops in electrical and electronics are also expressed as polynomials.
  • Polynomials are also used in medical fields, to monitor the status of the patients, their intake, and body conditions.
  • Designing a roller coaster and its trajectory also use polynomials.

What are the advantages of referring to the exercise 2.4 class 10 maths NCERT solutions?

The NCERT Solutions for exercise 2.4 Class 10 Maths have been designed to ensure that the students can prepare for their exams in an easy-to-understand manner. Practicing the solutions regularly will play an important role in helping the students score higher marks in the examination. 
Given below are the advantages of referring to the exercise 2.4 Class 10 Maths NCERT Solutions:

  • The Exercise 2.4 Class 10 NCERT Solutions have been designed by professionals at Embibe. Going through these exercises will help the students understand the concepts easily. 
  • Referring to the NCERT Solutions will make it easier for the students to prepare for their board exams. 
  • With the help of NCERT Solutions, the problem-solving skills of the students will also improve. This will also play an important role in improving the confidence of students. 
  • In Class 10, students will get to learn about the advanced concepts of Polynomials that will eventually help them prepare for higher studies. 
  • Practicing the NCERT Solutions will help to boost the confidence of students thereby helping them overcome various challenges. 

FAQs on NCERT Solutions for Exercise 2.4 Class 10 Maths

Some of the most prominently asked questions on NCERT Solutions for Exercise 2.4 Class 10 Maths include:

Q1. For the given cubic polynomial x3 + ax2 + bx + c, one of the zeroes is – 1. Find the result of the other two zeroes.
Ans. The result of the other two zeroes is (b – a + 1).

Q2. Track down the upsides of ‘a’ and ‘b’ of the given quadratic polynomial x2 + (a + 1)x + b. The zeroes of the polynomial are 2 and – 3.
Ans. The worth of ‘a’ is 0, and ‘b’ is – 6.

Q3. You are given a polynomial x3 + 4×2 – px + 8, which is detachable by (x – 2). Decide the worth of ‘p’ in the polynomial.
Ans. The worth of ‘p’ is 16.

Q4. Track down the level of the given polynomial: (x + 1)(x2 – x – x4 +1)
Ans. The level of the given polynomial is 5.

Q5. Track down the worth of ‘k’ for a quadratic polynomial (k – 1)x2+kx +1. One of the zeroes of the polynomial is given as – 3.
Ans. The worth of ‘k’ is 4/3.

Q6. For what reason should understudies plan from CBSE Class 10 Maths Chapter 2 NCERT arrangements by Embibe for my CBSE tests?
Ans. The NCERT Solutions given by Embibe are ready by specialists to assist understudies with scoring great imprints in their CBSE tests. The understudies ought to allude to the NCERT Solutions by Embibe to foster a sound comprehension of the relative multitude of ideas.

Q7. Could NCERT Solutions at any point assist me with scoring most extreme imprints in tests?
Ans. Contemplating from NCERT Solutions will assist understudies with acquiring a calculated comprehension of the multitude of ideas, which will assist understudies with scoring great imprints in the tests.

Alongside the NCERT Solutions, Embibe offers different assets for understudies of Class 10. At Embibe, you can address CBSE Class 10 Practice Questions or step through Class 10 Mock Exams of charge. Make the best of the arrangements, test questions, and fake tests given by Embibe and work on your scores.

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