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Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.
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Status of the fundamental theorem of algebra for the locale of real numbers
On the other hand, Wim Ruitenberg showed in his paper Constructing Roots of Polynomials over the Complex Numbers that the fundamental theorem of algebra can be proven without choice at all for the real …