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Question

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

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Solution

Given : α and β are the zeros of the polynomial 2x2+7x+5

α+β = sum of zeros = (coefficient of x)(coefficient of x2) =72
αβ = product of zeroes =( constant term)(coefficient of x2) =52
α+β+αβ=(α+β)+αβ=72+52=1

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