Class 10 Exam > Class 10 Notes > NCERT Textbooks & Solutions for Class 10 > Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT)
NCERT Solutions for Class 10 Maths - Exercise 2.3 Polynomials Old Syllabus
Q.1. Find the remainder when x3+3x2+3x+1 is divided by
(i) x+1
Solution:
x+1= 0
⇒ x = −1
∴ Remainder:
p(−1) = (−1)3+3(−1)2+3(−1)+1
= −1+3−3+1
= 0
(ii) x−1/2
Solution:
x-1/2 = 0
⇒ x = 1/2
∴ Remainder:
p(1/2) = (1/2)3+3(1/2)2+3(1/2)+1
= (1/8)+(3/4)+(3/2)+1
= 27/8
(iii) x
Solution:
x = 0
∴ Remainder:
p(0) = (0)3+3(0)2+3(0)+1
= 1
(iv) x+π
Solution:
x+π = 0
⇒ x = −π
∴ Remainder:
p(0) = (−π)3 +3(−π)2+3(−π)+1
= −π3+3π2−3π+1
(v) 5+2x
Solution:
5+2x=0
⇒ 2x = −5
⇒ x = -5/2
∴ Remainder:
(-5/2)3+3(-5/2)2+3(-5/2)+1 = (-125/8)+(75/4)-(15/2)+1
= -27/8
Q.2. Find the remainder when x3−ax2+6x−a is divided by x-a.
Solution:
Let p(x) = x3−ax2+6x−a
x−a = 0
∴ x = a
Remainder:
p(a) = (a)3−a(a2)+6(a)−a = a3−a3+6a−a = 5a
Q.3. Check whether 7+3x is a factor of 3x3+7x.
Solution:
7+3x = 0
⇒ 3x = −7
⇒ x = -7/3
∴ Remainder:
3(-7/3)3+7(-7/3) = -(343/9)+(-49/3)
= (-343-(49)3)/9
= (-343-147)/9
= -490/9 ≠ 0
∴ 7+3x is not a factor of 3x3+7x
Check out the NCERT Solutions of all the exercises of Polynomials:
Exercise 2.1. NCERT Solutions: Polynomials
The document NCERT Solutions for Class 10 Maths - Exercise 2.3 Polynomials Old Syllabus is a part of the Class 10 Course NCERT Textbooks & Solutions for Class 10.
All you need of Class 10 at this link: Class 10
FAQs on NCERT Solutions for Class 10 Maths - Exercise 2.3 Polynomials Old Syllabus
| 1. What are polynomials in mathematics? |  |
Ans. Polynomials are algebraic expressions consisting of variables, coefficients, and exponents that can be added, subtracted, multiplied, and divided.
| 2. How do you classify polynomials based on the number of terms? | |
Ans. Polynomials can be classified as monomials (one term), binomials (two terms), trinomials (three terms), or polynomials with more than three terms.
| 3. What is the degree of a polynomial? | |
Ans. The degree of a polynomial is the highest power of the variable in the expression. It helps determine the behavior of the polynomial function.
| 4. How can polynomials be used in real-life applications? | |
Ans. Polynomials are used in various fields like engineering, physics, and economics to model and solve real-world problems, such as calculating areas, volumes, or predicting trends.
| 5. Can polynomials be graphed on a coordinate plane? | |
Ans. Yes, polynomials can be graphed on a coordinate plane to visualize their behavior, roots, and turning points, which helps in understanding their properties and relationships.
Related Exams
About this Document
|
9K Views |
|
4.93/5 Rating |
|
Nov 24, 2024 Last updated |
Document Description: Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) for Class 10 2024 is part of NCERT Textbooks & Solutions for Class 10 preparation.
The notes and questions for Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) have been prepared according to the Class 10 exam syllabus. Information about Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) covers topics
like and Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) Example, for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT).
Introduction of Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) in English is available as part of our NCERT Textbooks & Solutions for Class 10
for Class 10 & Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) in Hindi for NCERT Textbooks & Solutions for Class 10 course.
Download more important topics related with notes, lectures and mock test series for Class 10
Exam by signing up for free. Class 10: NCERT Solutions for Class 10 Maths - Exercise 2.3 Polynomials Old Syllabus
Description
Full syllabus notes, lecture & questions for NCERT Solutions for Class 10 Maths - Exercise 2.3 Polynomials Old Syllabus - Class 10 | Plus excerises question with solution to help you revise complete syllabus for NCERT Textbooks & Solutions for Class 10 | Best notes, free PDF download
Information about Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT)
In this doc you can find the meaning of Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) defined & explained in the simplest way possible. Besides explaining types of
Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) theory, EduRev gives you an ample number of questions to practice Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) tests, examples and also practice Class 10
tests
|
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
Exam
,NCERT Solutions for Class 10 Maths - Exercise 2.3 Polynomials Old Syllabus
,Semester Notes
,ppt
,study material
,MCQs
,video lectures
,shortcuts and tricks
,past year papers
,Objective type Questions
,Extra Questions
,NCERT Solutions for Class 10 Maths - Exercise 2.3 Polynomials Old Syllabus
,Viva Questions
,Previous Year Questions with Solutions
,Summary
,Important questions
,NCERT Solutions for Class 10 Maths - Exercise 2.3 Polynomials Old Syllabus
,practice quizzes
,Sample Paper
,mock tests for examination
,Free
;
Additional Information about Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) for Class 10 Preparation
Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) Free PDF Download
The Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) 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 2.3 NCERT Solutions - Polynomials (Old NCERT) now and kickstart your journey towards success in the Class 10 exam.
Importance of Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT)
The importance of Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) 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 2.3 NCERT Solutions - Polynomials (Old NCERT) Notes
Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) 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 2.3 NCERT Solutions - Polynomials (Old NCERT).
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 2.3 NCERT Solutions - Polynomials (Old NCERT) Notes on EduRev are your ultimate resource for success.
Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) Class 10 Questions
The "Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) 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 2.3 NCERT Solutions - Polynomials (Old NCERT) on the App
Students of Class 10 can study Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT) alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Exercise 2.3 NCERT Solutions - Polynomials (Old NCERT),
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 2.3 NCERT Solutions - Polynomials (Old NCERT) is prepared as per the latest Class 10 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