Question

If alfa, beta are the zeros of polynomial f(x) = x² - p(x+1) - c, then (alfa + 1).(beta+1) = ?

Answer 1

(Alpha+1)(beta+1)= alpha*beta+alpha+ beta+1

Alpha*beta=-p-c/1

Alpha+beta=p/1

Therefore alhpa*beta+alpha+beta+1=

-p-c+p+1=1-c

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