Class 9 Exam > Class 9 Notes > Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics
Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics PDF Download
REMAINDER THEOREM
If p(x) is any polynomial of degree greater than or equal to 1 and let a be any real number. When p(x) is divided by x– a, then the remainder is equal to p(a).
By division algorithm, we know that Dividend = Divisor × quotient + Remainder
d(x) = p(x) q(x) + r(x)
|
REMARK 1. If a polynomial p(x) is divided by (x + a), the remainder is equal to the value of p(x) at x = – a i.e., p(–a)
2. If a polynomial p(x) is divided by (ax – b), the remainder is equal to the value of p(x) at
3. If a polynomial p(x) is divided by (b – ax), the remainder is equal to the value of p(x) at
|
Ex. If the polynomials ax3 + 4x2 + 3x – 4 and x3 – 4x + a leave the same remainder when divided by (x – 3), find the value of a.
FAQs on Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics
| 1. What is the remainder theorem of polynomials? |  |
Ans. The remainder theorem states that when a polynomial P(x) is divided by a linear polynomial (x-a), the remainder of the division is equal to P(a). This theorem is used to find the remainder of a polynomial when it is divided by a linear polynomial.
| 2. How do you use the remainder theorem to find the remainder of a polynomial? | |
Ans. To find the remainder of a polynomial when it is divided by a linear polynomial (x-a), substitute 'a' in the polynomial and find the value of P(a). This value will be the remainder of the division.
| 3. Can the remainder theorem be used to factorize a polynomial? | |
Ans. Yes, the remainder theorem can be used to factorize a polynomial. If a polynomial P(x) is divided by a linear polynomial (x-a) and the remainder is 0, then (x-a) is a factor of P(x). This can be used to factorize the polynomial.
| 4. What is the degree of the remainder when a polynomial is divided by a linear polynomial? | |
Ans. The degree of the remainder when a polynomial is divided by a linear polynomial is always less than the degree of the divisor. In other words, if the divisor is of degree 1, then the degree of the remainder will be 0 or less than 1.
| 5. Can the remainder theorem be used to solve equations? | |
Ans. Yes, the remainder theorem can be used to solve equations. If a polynomial P(x) is divided by a linear polynomial (x-a) and the remainder is 0, then the value of 'a' is a root of the equation P(x) = 0. This can be used to solve the equation.
Related Exams
About this Document
|
15.2K Views |
|
4.79/5 Rating |
|
Nov 08, 2024 Last updated |
Document Description: Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics for Class 9 2024 is part of Class 9 preparation. The notes and questions for Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics have been prepared according to the Class 9 exam syllabus. Information about Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics covers topics like and Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics Example, for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics.
Introduction of Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics in English is available as part of
our Class 9 preparation & Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics in Hindi for Class 9
courses. Download more important topics, notes, lectures and mock test series for Class 9
Exam by signing up for free. Class 9: Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics
Description
Full syllabus notes, lecture & questions for Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics - Class 9 | Plus excerises question with solution to help you revise complete syllabus | Best notes, free PDF download
Information about Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics
In this doc you can find the meaning of Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics defined & explained in the simplest way possible.
Besides explaining types of Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics theory,
EduRev gives you an ample number of questions to practice Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics tests, examples and also practice Class 9 tests.
Download as PDF
|
Explore Courses for Class 9 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Class 9
,study material
,video lectures
,Class 9
,shortcuts and tricks
,Viva Questions
,Semester Notes
,Class 9
,Mathematics
,practice quizzes
,Remainder Theorem of Polynomials - Polynomials
,Mathematics
,MCQs
,Objective type Questions
,Sample Paper
,Summary
,Important questions
,Mathematics
,Extra Questions
,ppt
,past year papers
,mock tests for examination
,Remainder Theorem of Polynomials - Polynomials
,Exam
,Free
,Remainder Theorem of Polynomials - Polynomials
,Previous Year Questions with Solutions
;
Additional Information about Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics for Class 9 Preparation
Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics Free PDF Download
The Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics is an invaluable resource that delves deep into the core of the Class 9 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 Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics now and kickstart your journey towards success in the Class 9 exam.
Importance of Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics
The importance of Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics cannot be overstated, especially for Class 9 aspirants.
This document holds the key to success in the Class 9 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.
Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics Notes
Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics.
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, Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics Notes on EduRev are your ultimate resource for success.
Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics Class 9 Questions
The "Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics Class 9 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 9 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 Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics on the App
Students of Class 9 can study Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics,
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 Remainder Theorem of Polynomials - Polynomials, Class 9, Mathematics is prepared as per the latest Class 9 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup