RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 12 of CCE - Formative Assessment

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

12

If zeros of the polynomial f (x) = x3 – 3px2 + qx – r are in A.P., then

Given;


f(x) = x3 – 3px2 + qx – r


Let a, b and c be the zeroes of the polynomial x3 – 3px2 + qx – r


a + b + c = 3 p


ab + bc + ac = q


abc = r


a + b = 2b b = p a + c = 2p


b(a + c) + ac = q


2p2 + ac = q


ac = r/p


2p2 + r/p = q


2p3 = pq – r

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?