Question

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

Answer 1

α and β are the zeros of polynomial 2x^2 + 7x + 5

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

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

α + β + αβ = (α + β) + αβ  = -7/2 + 5/2  = -1