UPSC Exam > UPSC Questions > T^2-√15 .find the zeroes of the quadratic pol...
Start Learning for Free
T^2-√15 .find the zeroes of the quadratic polynomial and verify the relationship between zeroes and coefficient?
Most Upvoted Answer
T^2-√15 .find the zeroes of the quadratic polynomial and verify the re...
Quadratic Polynomial: Finding Zeroes and Relationship with Coefficients
Finding Zeroes of the Quadratic Polynomial:
- Given polynomial: T^2 - √15
- To find the zeroes, set the polynomial equal to zero: T^2 - √15 = 0
- Solve for T: T = ±√15
Verifying Relationship between Zeroes and Coefficients:
- The general form of a quadratic polynomial is ax^2 + bx + c.
- The sum of the zeroes of a quadratic polynomial is given by -b/a and the product of the zeroes is given by c/a.
- In this case, the coefficients of the polynomial are a = 1, b = 0, and c = -√15.
- The sum of the zeroes is -b/a = 0/1 = 0.
- The product of the zeroes is c/a = -√15/1 = -√15.
Explanation:
- The zeroes of the quadratic polynomial T^2 - √15 are ±√15.
- The relationship between the zeroes and the coefficients is verified by calculating the sum and product of the zeroes using the formulas -b/a and c/a.
- The sum of the zeroes is 0 and the product of the zeroes is -√15, which aligns with the relationship between the zeroes and coefficients of a quadratic polynomial.
- This demonstrates the connection between the zeroes of a polynomial and its coefficients in the context of the given quadratic polynomial.
Finding Zeroes of the Quadratic Polynomial:
- Given polynomial: T^2 - √15
- To find the zeroes, set the polynomial equal to zero: T^2 - √15 = 0
- Solve for T: T = ±√15
Verifying Relationship between Zeroes and Coefficients:
- The general form of a quadratic polynomial is ax^2 + bx + c.
- The sum of the zeroes of a quadratic polynomial is given by -b/a and the product of the zeroes is given by c/a.
- In this case, the coefficients of the polynomial are a = 1, b = 0, and c = -√15.
- The sum of the zeroes is -b/a = 0/1 = 0.
- The product of the zeroes is c/a = -√15/1 = -√15.
Explanation:
- The zeroes of the quadratic polynomial T^2 - √15 are ±√15.
- The relationship between the zeroes and the coefficients is verified by calculating the sum and product of the zeroes using the formulas -b/a and c/a.
- The sum of the zeroes is 0 and the product of the zeroes is -√15, which aligns with the relationship between the zeroes and coefficients of a quadratic polynomial.
- This demonstrates the connection between the zeroes of a polynomial and its coefficients in the context of the given quadratic polynomial.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Top Courses for UPSCView all
T^2-√15 .find the zeroes of the quadratic polynomial and verify the relationship between zeroes and coefficient?
Question Description
T^2-√15 .find the zeroes of the quadratic polynomial and verify the relationship between zeroes and coefficient? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about T^2-√15 .find the zeroes of the quadratic polynomial and verify the relationship between zeroes and coefficient? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for T^2-√15 .find the zeroes of the quadratic polynomial and verify the relationship between zeroes and coefficient?.
T^2-√15 .find the zeroes of the quadratic polynomial and verify the relationship between zeroes and coefficient? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about T^2-√15 .find the zeroes of the quadratic polynomial and verify the relationship between zeroes and coefficient? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for T^2-√15 .find the zeroes of the quadratic polynomial and verify the relationship between zeroes and coefficient?.
Solutions for T^2-√15 .find the zeroes of the quadratic polynomial and verify the relationship between zeroes and coefficient? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of T^2-√15 .find the zeroes of the quadratic polynomial and verify the relationship between zeroes and coefficient? defined & explained in the simplest way possible. Besides giving the explanation of
T^2-√15 .find the zeroes of the quadratic polynomial and verify the relationship between zeroes and coefficient?, a detailed solution for T^2-√15 .find the zeroes of the quadratic polynomial and verify the relationship between zeroes and coefficient? has been provided alongside types of T^2-√15 .find the zeroes of the quadratic polynomial and verify the relationship between zeroes and coefficient? theory, EduRev gives you an
ample number of questions to practice T^2-√15 .find the zeroes of the quadratic polynomial and verify the relationship between zeroes and coefficient? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© 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