RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 32 of CCE - Formative Assessment

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32

If α, β are the zeros of the polynomial 2y2 + 7y + 5, write the value of α + β + αβ.

Given,


Polynomial 2y2 + 7y + 5


Zeroes = a, 13


Here a = 2


b = 7


c = 5


Lets take α and β are two zero,


So sum of the zeroes will be,


α + β = – b/a = – 7/2


Product of the zeroes = α. β = c/a = 5/2


Now put the values,


α + β + αβ = (α + β) αβ


= – 7/2 + 5/2 = – 2/2 = – 1


32

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?