If alpha and beta are roots of X2+x-1 then find polynomial whose zeros

1.	If alpha and beta are roots of X2+x-1 then find polynomial whose zeros are alpha+2 and bita+2
Answer» alpha+beta=-1/1=-1alpha×beta=-1/1=-1so, alpha+2+beta+2=alpha+beta+4=-2+4=2and (alpha+2)(beta+2)=2(alpha+beta)+(alpha)(beta)+4=-2-1+4=1Thus, the required polynomial is f(x)=k(x^2-2x+1)

Discussion