RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 20 of CCE - Formative Assessment

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20

If α, β are the zeros of the polynomial f(x) = ax2 + bx + c, then =

Given


f(x) = ax2 + bx + c


α, β are the Zeros


α + β = – b/a


αβ = c/a


1/ α + 1/β =


1/α2 + 1/β2 = (1/α + 1/β)2 – 2/αβ


= ( – b/c)2 – 2a/c


=

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?