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Relationship between Zeroes and Coefficients of a Polynomial

If α, β are...

Question

If $α, β$ are the zeros of polynomial $f (x) = x^{2} - p (x + 1) - c$ , then $(α + 1) (β + 1) =$

c - 1

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1 - c

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c

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1 + c

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Solution

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Similar questions

α, β

x^{2} - p (x + 1) + C = 0

(α + 1) (β + 1)

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

$(α + 1) (β + 1)$ =

α, β

x^{2} - p (x + 1) - c = 0

(α + 1) (β + 1) = 1 - c

\frac{α^{2} + 2 α + 1}{α^{2} + 2 α + c} + \frac{β^{2} + 2 β + 1}{β^{2} + 2 β + c} = 1

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