Question

if alpha and beta are zeroes of a given polynomial f(x) =x²-p(x+2)-c , then find the value of (alpha+2) (beta+2)

Answer 1

let a,b be roots then (a+2)(b+2)=ab+2(a+b)+4
ab=p,a+b=-2p-c
so answer is p-4p-2c+4