## Abstract

In all we have done so far concerning polynomials, at no moment we had any intent of *substituting* *X* by an element of \(\mathbb K\). Even in Theorem 14.10 and Example 14.15, the notation *f*(*z*), used to denote the complex number obtained by *formally substituting* *X* by *z* in the expression of \(f\in \mathbb C[X]\), was a mere convention. This is no surprise, for we are looking at polynomials as *formal expressions*, rather than as *functions*. In this sense, the **indeterminate** *X* is a symbol with no arithmetic meaning, and we have even stressed before that we could have used the symbol \(\square \), instead.

## References

- 9.A. Caminha,
*An Excursion Through Elementary Mathematics II - Euclidean Geometry*(Springer, New York, 2018)Google Scholar - 20.C.R. Hadlock,
*Field Theory and its Classical Problems*(Washington, MAA, 2000)Google Scholar

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