Let x₁, x₂, x₃ be the roots of f(x)=x^3+7x^2-8x+3.

Find the cubic polynomial whose roots are

a) x₁^2, x₂^2, x₃^2

b) 1/(x₁), 1/(x₂), 1/(x₃)

Because we are learning resolvent cubic now, so I think that this may relate to it. Can someone tell me how to find them?