If - - are the zeros of the polynomial fx-x2-px-1- c such that -1-1-0- then c-a 1b 0c -1d 2

Since and are the zeros of quadratic polynomial We have nbsp; The value of c is. Hence, the correct alternative is ...

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Formation of a Quadratic Equation From It's Roots

If α, β are t...

Question

If α, β are the zeros of the polynomial f(x) = x² − p(x + 1) − c such that (α +1) (β + 1) = 0, then c =

(a) 1
(b) 0
(c) −1
(d) 2

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Solution

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α, β

f (x) = x^{2} - p (x + 1) - c

(α + 1) (β + 1) =

\frac{1}{α} and \frac{1}{β}

If $α, β$ are roots of the equation $x^{2} - p (x + 1) - c = 0$ , then

$(α + 1) (β + 1)$ =

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