Question

if alpha and beta are the zeros of the polynomial f(x) =x^2-p(x+1)x-c,shiw that (alpha +1) (beta+1)=1-c​

Answer 1

Step-by-step explanation:

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Answer 2

answers

x^2 -px - p - c

x^2 -px -(p + c)

$\alpha + \beta \: is \: equal \: to \: - b \: upon \: a$

so alpha + beta = p

and

alpha × beta = - p- c

$now \: from \: roos \: \: get \: \alpha \beta + \alpha + \beta + 1$

by putting values we get

- p- c + p +1

we get - c + 1

hence lhs = rhs