: If a & b are the two zeroes of the polynomial x^2 - p(x+1) -c such that (a+1)(b+1)=0.
then what is the value of c?
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if a,b are zeroes
then they are roots of a quadratic eq
then, a+b=p
ab= -c-p
(a+1)(b+1)=ab+a+b+1=0
then,p-c-p+1=0
c=1
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