How to move a root of a cubic equation to the origin

Suppose that a person wants to map a cubic equation in x so that a given one of its roots (i.e. solutions) now lies in the origin ($x = 0$). Which mapping function is best suited for this task? Suppose that this person changes their mind and now wants to place the root at $x = 1$ for instance. Can the same mapping function be used, or should another one be used? We attempt to answer these questions in this paper.

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