UPSC Exam > UPSC Questions > If p and q are the zeros of the quadratic pol...
Start Learning for Free
If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).?
Most Upvoted Answer
If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find t...
Finding the Value of pq+(p+q)
Identifying the Zeros
Finding the Value of pq+(p+q)
Let's start by identifying the zeros of the quadratic polynomial ax^2+bx+c.
Identifying the Zeros
- Let p and q be the zeros of the quadratic polynomial ax^2+bx+c.
- Since p and q are zeros, the polynomial can be factored as ax^2+bx+c = a(x-p)(x-q).
- Expanding the right side gives ax^2 - (a(p+q))x + apq.
- Comparing coefficients, we have b = -a(p+q) and c = apq.
- Solving for p+q and pq gives p+q = -b/a and pq = c/a.
Finding the Value of pq+(p+q)
- Substitute the values of p+q and pq into the expression pq+(p+q).
- pq+(p+q) = c/a + (-b/a) = (c-b)/a.
- Therefore, the value of pq+(p+q) is (c-b)/a.
So, the value of pq+(p+q) for the given quadratic polynomial ax^2+bx+c is (c-b)/a.
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
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).?
Question Description
If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).?.
If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).?.
Solutions for If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).? 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 If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).? defined & explained in the simplest way possible. Besides giving the explanation of
If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).?, a detailed solution for If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).? has been provided alongside types of If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).? theory, EduRev gives you an
ample number of questions to practice If p and q are the zeros of the quadratic polynomial ax^2+bx+c, find the value of pq+(p+q).? 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