Class 10 Exam > Class 10 Videos > 03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths
03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths Video Lecture
FAQs on 03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths Video Lecture
| 1. What is the relationship between the zeroes and the coefficient of a polynomial? |  |
Ans. The relationship between the zeroes and the coefficient of a polynomial is given by Vieta's formulas. For a quadratic polynomial ax^2 + bx + c, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.
| 2. How can we find the zeroes of a polynomial if its coefficients are given? | |
Ans. We can find the zeroes of a polynomial if its coefficients are given by using various methods such as factorization, the quadratic formula, or synthetic division. These methods allow us to solve the polynomial equation and determine the values of x that make the polynomial equal to zero.
| 3. Can a polynomial have more than two zeroes? | |
Ans. Yes, a polynomial can have more than two zeroes. The number of zeroes a polynomial can have is equal to its degree. For example, a cubic polynomial can have up to three zeroes, a quartic polynomial can have up to four zeroes, and so on.
| 4. Are the zeroes of a polynomial always real numbers? | |
Ans. No, the zeroes of a polynomial are not always real numbers. They can also be complex numbers. For example, the polynomial x^2 + 1 has no real zeroes, but it has two complex zeroes, namely i and -i, where i is the imaginary unit.
| 5. What is the significance of the zeroes of a polynomial? | |
Ans. The zeroes of a polynomial are significant because they provide information about the behavior of the polynomial. The zeroes indicate the values of x for which the polynomial is equal to zero, which helps in graphing the polynomial and analyzing its properties such as the number of turning points and the behavior as x approaches infinity or negative infinity.
Related Exams
About this Video
|
4.97/5 Rating |
|
Dec 23, 2024 Last updated |
03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths for Class 102024 is part of Class 10 preparation. The notes and questions for 03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths
have been prepared according to the Class 10 exam syllabus. Information about 03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths covers all important topics
for Class 102024 Exam. Find important definitions, questions, notes, meanings, examples, exercises
and tests below for 03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths.
Introduction of 03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths in English is available as part of our Class 10 preparation & 03 - Relationship Between Zeroes And Coefficient of 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.
Description
Video Lecture & Questions for 03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths Video Lecture - Class 10 full syllabus preparation | Free video for Class 10 exam.
Information about 03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths
Here you can find the 03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths defined & explained in the simplest way possible. Besides explaining types of 03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths
theory, EduRev gives you an ample number of questions to practice 03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths 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
past year papers
,Summary
,Viva Questions
,Important questions
,03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths Video Lecture
,video lectures
,study material
,03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths Video Lecture
,Exam
,mock tests for examination
,Objective type Questions
,practice quizzes
,Free
,Extra Questions
,MCQs
,ppt
,shortcuts and tricks
,Previous Year Questions with Solutions
,Sample Paper
,03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths Video Lecture
,Semester Notes
;
Study 03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths on the App
Students of Class 10 can study 03 - Relationship Between Zeroes And Coefficient of Polynomials - Class 10 - Maths alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the 03 - Relationship Between Zeroes And Coefficient of 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 03 - Relationship Between Zeroes And Coefficient of 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