Class 10 Exam > Class 10 Notes > Mathematics (Maths) Class 10 > Worksheet: Polynomials
Polynomials Class 10 Worksheet Maths Chapter 2
Short Answer Type
Q1: If a and b are roots of the equation x2 + 7 x + 7 . Find the value of a-1 + b−1 − 2αb.
Q2: If the zeroes of the quadratic polynomial x2 + (α + 1 ) x + b are 2 and -3, then find the value of a and b.
Q.3. If a and b are zeroes of the polynomial f (x) = 2x2 − 7x + 3, find the value of α2 + b2.
Q.4: Find the zeroes of the quadratic polynomial x2 + x − 12 and verify the relationship between the zeroes and the coefficients.
Q5: If p and q are zeroes of f (x) = x2 − 5x + k, such that p − q = 1 , find the value of k.
Q6: Given that two of the zeroes of the cubic polynomial αx3 + bx2 + cx + d are 0, then find the third zero.
Q.7. If one of the zeroes of the cubic polynomial x3 + αx2 + bx + c is -1, then find the product of the other two zeroes.
Q8: If a-b, a a+b , are zeroes of x3 − 6x2 + 8x , then find the value of b
Q9: Quadratic polynomial 4x2 + 12x + 9 has zeroes as p and q . Now form a quadratic polynomial whose zeroes are p − 1 and q − 1
Long Answer Type
Q10: p and q are zeroes of the quadratic polynomial x2 − (k + 6 ) x + 2(2 k − 1) . Find the value of k if 2(p + q) = p q
Q11: Given that the zeroes of the cubic polynomial x3 − 6 x2 + 3 x + 10 are of the form a, a + b, a + 2b for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial.
Q12: If one zero of the polynomial 2x2−5x−(2k + 1) is twice the other, find both the zeroes of the polynomial and the value of k.
Q.13: Using division show that 3y2 + 5 is a factor of 6y5 + 15y4 + 16y3 + 4y2 + 10y − 35 .
Q14: If (x - 2) and [x - 1/2 ] are the factors of the polynomials qx2 + 5x + r prove that q = r.
Q15: Find k so that the polynomial x2 + 2x + k is a factor of polynomial 2x4 + x3 - 14x2 + 5x + 6. Also, find all the zeroes of the two polynomials.
You can access the solutions to this worksheet here.
The document Polynomials Class 10 Worksheet Maths Chapter 2 is a part of the Class 10 Course Mathematics (Maths) Class 10.
All you need of Class 10 at this link: Class 10
|
123 videos|457 docs|77 tests
|
FAQs on Polynomials Class 10 Worksheet Maths Chapter 2
| 1. What are polynomials and how are they classified? |  |
Ans.Polynomials are algebraic expressions that consist of variables and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents. They can be classified based on their degree (the highest exponent of the variable) and the number of terms (monomial, binomial, trinomial, etc.). For example, a polynomial of degree 2 is called a quadratic polynomial.
| 2. How do you add and subtract polynomials? | |
Ans.To add or subtract polynomials, you need to combine like terms, which are terms that have the same variable raised to the same power. For instance, if you have the polynomials \(3x^2 + 2x + 1\) and \(4x^2 - 3x + 5\), you would add the coefficients of the like terms: \((3x^2 + 4x^2) + (2x - 3x) + (1 + 5) = 7x^2 - x + 6\).
| 3. What is the difference between a polynomial and a non-polynomial expression? | |
Ans.A polynomial expression has non-negative integer exponents and coefficients, while a non-polynomial expression may include negative exponents, fractions involving a variable in the denominator, or variables raised to a power that is not an integer. For example, \(2x^3 + 3x - 5\) is a polynomial, while \( \frac{1}{x} + 2\) is not a polynomial.
| 4. How do you factor polynomials? | |
Ans.Factoring polynomials involves expressing the polynomial as a product of its factors. Common methods include factoring out the greatest common factor (GCF), using the difference of squares, or applying special formulas for quadratics (like \(a^2 - b^2 = (a - b)(a + b)\)). For example, to factor \(x^2 - 9\), you would write it as \((x - 3)(x + 3)\).
| 5. What are the zeros of a polynomial and how can they be found? | |
Ans.The zeros of a polynomial are the values of the variable that make the polynomial equal to zero. They can be found using various methods, such as factoring, using the quadratic formula for quadratics, or graphing the polynomial to identify points where it crosses the x-axis. For instance, for the polynomial \(x^2 - 5x + 6\), the zeros can be found by factoring it as \((x - 2)(x - 3) = 0\), giving zeros at \(x = 2\) and \(x = 3\).
Related Exams
About this Document
|
5.7K Views |
|
4.75/5 Rating |
|
Nov 22, 2024 Last updated |
Document Description: Worksheet: Polynomials for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation.
The notes and questions for Worksheet: Polynomials have been prepared according to the Class 10 exam syllabus. Information about Worksheet: Polynomials covers topics
like and Worksheet: Polynomials Example, for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Worksheet: Polynomials.
Introduction of Worksheet: Polynomials in English is available as part of our Mathematics (Maths) Class 10
for Class 10 & Worksheet: Polynomials in Hindi for Mathematics (Maths) 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: Polynomials Class 10 Worksheet Maths Chapter 2
Description
Full syllabus notes, lecture & questions for Polynomials Class 10 Worksheet Maths Chapter 2 - Class 10 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 10 | Best notes, free PDF download
Information about Worksheet: Polynomials
In this doc you can find the meaning of Worksheet: Polynomials defined & explained in the simplest way possible. Besides explaining types of
Worksheet: Polynomials theory, EduRev gives you an ample number of questions to practice Worksheet: Polynomials 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
MCQs
,Important questions
,Objective type Questions
,video lectures
,practice quizzes
,Polynomials Class 10 Worksheet Maths Chapter 2
,Extra Questions
,Polynomials Class 10 Worksheet Maths Chapter 2
,mock tests for examination
,Sample Paper
,Previous Year Questions with Solutions
,study material
,past year papers
,Free
,Exam
,Summary
,ppt
,shortcuts and tricks
,Semester Notes
,Viva Questions
,Polynomials Class 10 Worksheet Maths Chapter 2
;
Additional Information about Worksheet: Polynomials for Class 10 Preparation
Worksheet: Polynomials Free PDF Download
The Worksheet: Polynomials 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 Worksheet: Polynomials now and kickstart your journey towards success in the Class 10 exam.
Importance of Worksheet: Polynomials
The importance of Worksheet: Polynomials 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.
Worksheet: Polynomials Notes
Worksheet: Polynomials Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Worksheet: Polynomials.
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, Worksheet: Polynomials Notes on EduRev are your ultimate resource for success.
Worksheet: Polynomials Class 10 Questions
The "Worksheet: Polynomials 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 Worksheet: Polynomials on the App
Students of Class 10 can study Worksheet: Polynomials alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Worksheet: Polynomials,
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 Worksheet: Polynomials is prepared as per the latest Class 10 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup