If α and β are the zeros of the polynomial 2x2 + 7x + 5, write the – InterviewSolution

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1.

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

Answer»

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

α + β = Sum of zeros = -(coefficient of x)/(coefficient of x²) = -7/2

αβ = Product of zeros = (constant term)/(coefficient of x²) = 5/2

α + β + αβ = (α + β) + αβ

= -7/2 + 5/2

= -1

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