: Mathématiques: polynomial equation

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polynomial equation

In mathematics, an algebraic equation or polynomial equation is an equation of the form ${\\displaystyle P=0}$ , where P is a polynomial with coefficients in some field, often the field of the rational numbers. For example, ${\\displaystyle x^{5}-3x+1=0}$ is an algebraic equation with integer coefficients and
${\\displaystyle y^{4}+{\ rac {xy}{2}}-{\ rac {x^{3}}{3}}+xy^{2}+y^{2}+{\ rac {1}{7}}=0}$
is a multivariate polynomial equation over the rationals. For many authors, the term algebraic equation refers only to the univariate case, that is polynomial equations that involve only one variable. On the other hand, a polynomial equation may involve several variables (the multivariate case), in which case the term polynomial equation is usually preferred.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Algebraic_equation)

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