Question

If α, β are the zeros of the polynomial 2y² + 7y + 5, write the value of α + β + αβ.

Answer 1

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