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If α, β are the zeros of the polynomial 2y2 + 7y + 5, write the value of α + β + αβ.
Given,
Polynomial 2y2 + 7y + 5
Zeroes = a, 13
Here a = 2
b = 7
c = 5
Lets take α and β are two zero,
So sum of the zeroes will be,
α + β = – b/a = – 7/2
Product of the zeroes = α. β = c/a = 5/2
Now put the values,
α + β + αβ = (α + β) αβ
= – 7/2 + 5/2 = – 2/2 = – 1