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
Given : α and β are the zeros of the polynomial 2x²+7x+5
α+β = sum of zeros = –(coefficient of x)/(coefficient of x²) =−7/2
αβ = product of zeroes=( constant term)/(coefficient of x²) =5/2
α+β+αβ=(α+β)+αβ=−7/2+5/2=−1