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## Homework Statement

θ^3 - pθ^2 +qθ - r = 0 such that p and r do not equal zero

If the roots can be written in the form ak^-1, a, and ak for some constants a and k, show that one root is q/p and that q^3 - rp^3 = 0. Also, show that if r=q^3/p^3, show that q/p is a root and that the product of the other roots is (q/p)^2

## Homework Equations

## The Attempt at a Solution

Mind boggling, can anyone give me so much as a hint?