Question

if alpha and beta are the zeries of polynomial x2-p(x+1)+c such that (alpha+1)(beta+1)=0 then find the value of c

Answer 1

alpha=-1 and betha=-1

polynomial=x2-px-(p-c)=0

sum of zeros= p/1
-1-1=p
-2=p

product of zeros=-(-2-c)/1
-1×-1=2+c/1
1-2=c
c=-1