RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 5 of CCE - Formative Assessment

Listen NCERT Audio Books to boost your productivity and retention power by 2X.

5

If α and β are the zeros of the polynomial f(x) = x2 + px + q, then a polynomial having and is its zeros is

Given,


f(x) = x2 + px + q


α + β = – p


αβ = q


1/α + 1/β = – p/q


x2 + p/q x + 1/q


So here we get,


g(x) = qx2 + px + 1

Chapter Exercises

More Exercise Questions

8

The sum and product of the zeros of a quadratic polynomial are and — 3 respectively. What is the quadratic polynomial?