Class 10 Exam > Class 10 Notes > EXERCISE 3 - Polynomials, Class 10, Maths
EXERCISE 3 - Polynomials, Class 10, Maths PDF Download
EXERCISE 3
1. Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following :
2. Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:
FAQs on EXERCISE 3 - Polynomials, Class 10, Maths
| 1. What are polynomials? |  |
Ans. Polynomials are algebraic expressions consisting of variables and coefficients, which are combined using the four basic mathematical operations of addition, subtraction, multiplication, and division.
| 2. What is the degree of a polynomial? | |
Ans. The degree of a polynomial is the highest power of the variable present in the polynomial. For example, the degree of the polynomial 3x^2 + 5x – 2 is 2, as the highest power of x is 2.
| 3. How do you add or subtract polynomials? | |
Ans. To add or subtract polynomials, simply combine like terms. Like terms are those that have the same variable and the same power. For example, to add the polynomials 3x^2 + 5x - 2 and 2x^2 - 3x + 4, you first group the like terms: (3x^2 + 2x^2) + (5x - 3x) + (-2 + 4), which simplifies to 5x^2 + 2x + 2.
| 4. What is the factor theorem? | |
Ans. The factor theorem states that if a polynomial P(x) is divided by (x – a), then the remainder will be zero if and only if (x – a) is a factor of P(x). In other words, if P(a) = 0, then (x – a) is a factor of P(x).
| 5. How do you find the roots of a polynomial? | |
Ans. To find the roots of a polynomial, set the polynomial equal to zero and solve for the variable. The solutions to the equation are the roots of the polynomial. For example, to find the roots of the polynomial x^2 – 4, you would set the polynomial equal to zero: x^2 – 4 = 0. Solving for x, you get x = ±2, so the roots of the polynomial are x = 2 and x = -2.
Related Exams
About this Document
|
11.5K Views |
|
4.64/5 Rating |
|
Dec 24, 2024 Last updated |
Document Description: EXERCISE 3 - Polynomials, Class 10, Maths for Class 10 2024 is part of Class 10 preparation. The notes and questions for EXERCISE 3 - Polynomials, Class 10, Maths have been prepared according to the Class 10 exam syllabus. Information about EXERCISE 3 - Polynomials, Class 10, Maths covers topics like and EXERCISE 3 - Polynomials, Class 10, Maths Example, for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for EXERCISE 3 - Polynomials, Class 10, Maths.
Introduction of EXERCISE 3 - Polynomials, Class 10, Maths in English is available as part of
our Class 10 preparation & EXERCISE 3 - Polynomials, Class 10, Maths in Hindi for Class 10
courses. Download more important topics, notes, lectures and mock test series for Class 10
Exam by signing up for free. Class 10: EXERCISE 3 - Polynomials, Class 10, Maths
Description
Full syllabus notes, lecture & questions for EXERCISE 3 - Polynomials, Class 10, Maths - Class 10 | Plus excerises question with solution to help you revise complete syllabus | Best notes, free PDF download
Information about EXERCISE 3 - Polynomials, Class 10, Maths
In this doc you can find the meaning of EXERCISE 3 - Polynomials, Class 10, Maths defined & explained in the simplest way possible.
Besides explaining types of EXERCISE 3 - Polynomials, Class 10, Maths theory,
EduRev gives you an ample number of questions to practice EXERCISE 3 - Polynomials, Class 10, Maths tests, examples and also practice Class 10 tests.
Download as PDF
|
Explore Courses for Class 10 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Extra Questions
,ppt
,mock tests for examination
,Maths
,Important questions
,Sample Paper
,practice quizzes
,Viva Questions
,EXERCISE 3 - Polynomials
,EXERCISE 3 - Polynomials
,study material
,shortcuts and tricks
,video lectures
,Class 10
,past year papers
,Summary
,Objective type Questions
,Class 10
,MCQs
,Exam
,Semester Notes
,EXERCISE 3 - Polynomials
,Class 10
,Maths
,Previous Year Questions with Solutions
,Maths
,Free
;
Additional Information about EXERCISE 3 - Polynomials, Class 10, Maths for Class 10 Preparation
EXERCISE 3 - Polynomials, Class 10, Maths Free PDF Download
The EXERCISE 3 - Polynomials, Class 10, Maths is an invaluable resource that delves deep into the core of the Class 10 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the EXERCISE 3 - Polynomials, Class 10, Maths now and kickstart your journey towards success in the Class 10 exam.
Importance of EXERCISE 3 - Polynomials, Class 10, Maths
The importance of EXERCISE 3 - Polynomials, Class 10, Maths cannot be overstated, especially for Class 10 aspirants.
This document holds the key to success in the Class 10 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
EXERCISE 3 - Polynomials, Class 10, Maths Notes
EXERCISE 3 - Polynomials, Class 10, Maths Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to EXERCISE 3 - Polynomials, Class 10, Maths.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, EXERCISE 3 - Polynomials, Class 10, Maths Notes on EduRev are your ultimate resource for success.
EXERCISE 3 - Polynomials, Class 10, Maths Class 10 Questions
The "EXERCISE 3 - Polynomials, Class 10, Maths Class 10 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 10 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study EXERCISE 3 - Polynomials, Class 10, Maths on the App
Students of Class 10 can study EXERCISE 3 - Polynomials, Class 10, Maths alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the EXERCISE 3 - Polynomials, Class 10, Maths,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of EXERCISE 3 - Polynomials, Class 10, Maths is prepared as per the latest Class 10 syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup