Question

if alpha and beta are the zeros of quadratic polynomial f x is equal to x square minus 1 then find the quadratic polynomial whose zeros are 2 alpha upon beta and 2 Beta upon Alpha​

Answer 1

a=1 b=0 c=-1

FX= X square-1

alpha +beta = -b/a

= 0/1 =0

apha × beta =-1/1

=-1

sum = 2 alpha /beta + 2beta/ alpha

=2 alpha^2 + 2 beta^2/alpha beta

= 2(alpha^2 + beta^2)/alpha beta

=