1.

If α, β are the zeros of polynomial f(x) = x2 – p (x + 1) – c, then (α + 1) (β + 1) =A. c – 1B. 1 – cC. cD. 1 + c

Answer»

Given,

f(x) = x2 – p (x + 1) – c

α and β are the zeros

So,

f(x) = x2 – p (x + 1) – c

= x2 – px – (p + c)

As,

(α + 1)(β + 1) = αβ + α + β + 1

= – p – c + p + 1

= 1 – c


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