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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 polynomial f(x) = x² − p (x + 1) − c, then (α + 1) (β + 1) =

(a) c − 1
(b) 1 − c
(c) c
(d) 1 + c

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Solution

Since and are the zeros of quadratic polynomial

We have

The value of is.

Hence, the correct choice is

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Similar questions

α, β

are the zeros of polynomial

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

(α + 1) (β + 1) =

Q. If α and β are the zeros of the quadratic polynomial f(x) = x² − p(x + 1) − c, show that (α + 1) (β + 1) = 1 − c.

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

$(α + 1) (β + 1)$ =

Q. If α, β are the roots of the equation

x^{2} - p (x + 1) - c = 0, then (α + 1) (β + 1) =

(a) c
(b) c − 1
(c) 1 − c
(d) none of these

α, β

are zeros of polynomial

x^{2} - p (x + 1) - k

(α + 1) (β + 1) = 6

, then value of k is?

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Formation of a Quadratic Equation From It's Roots

Standard X Mathematics

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