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If α and β are the zeroes of the polynomial 2x²+7x+5, write the value of α+β+αβ

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This is the basic and conceptual question from polynomials in which we have given a polynomial 2x²+7x+5 and it is also given that α and β are its zeroes and we have to find the value of α+β+αβ.

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 2C, question no 16


1 Answer

  1. Given : α and β are the zeros of the polynomial 2+7x+5

    α+β = sum of zeros = –(coefficient of x)/(coefficient of )  =−7/2

    αβ = product of zeroes=( constant term)/(coefficient of x²) =5/2


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