User:Cactus0192837465/sandboxfewnomial

In mathematics, fewnomial theory, theory of fewnomials, or fewnomial principle refers to the body of results establishing that real varieties defined by systems of equations that are not cumbersome should have a simple topology. . The name was coined by Russian mathematician Anatoli Kushnirenko (1930s) and expanded and popularized by Russian-Canadian mathematician Askold Khovanskii. The name fewnomial refers to polynomials with a small number (few) of monomials with non-zero coefficients.

Descartes rule of signs
Descartes' rule of signs states that if the monomials with non-zero coefficients of a polynomial of a single variable are ordered in decreasing order, then the number of is positive roots is bounded by the number of sign changes of the monomials when these are read in order. As a consequence, the number of positive roots has an explicit bound depending on the number of non-zero monomials and independent on the degree of the polynomial.

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