Question

if alpha and beta are the zeroes of the polynomial p(x)= 3x^2 -4x +1,find the quadratic polynomial whose zeroes are alpha square /beta and beta square/alpha

Answer 1

see the image attached now I solve it

Answer 2

roots of p(x) are 1 and 1/3
let aplha is 1 and beta is 1/3
so alpha sq. / Beta is 3
and beta sq. / alpha is 1/9 so reqd eqn is
x^2 - (3+1/9)x +1/3= 0