What does polynomial equation mean?
Definitions for polynomial equation
po·ly·no·mi·al equa·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word polynomial equation.
Wiktionary
polynomial equationnoun
Any algebraic equation in which one or both sides are in the form of a polynomial.
Wikipedia
polynomial equation
In mathematics, an algebraic equation or polynomial equation is an equation of the form P = 0 {\displaystyle P=0} where P is a polynomial with coefficients in some field, often the field of the rational numbers. For many authors, the term algebraic equation refers only to univariate equations, that is polynomial equations that involve only one variable. On the other hand, a polynomial equation may involve several variables. In the case of several variables (the multivariate case), the term polynomial equation is usually preferred to algebraic equation. For example, x 5 − 3 x + 1 = 0 {\displaystyle x^{5}-3x+1=0} is an algebraic equation with integer coefficients and y 4 + x y 2 − x 3 3 + x y 2 + y 2 + 1 7 = 0 {\displaystyle y^{4}+{\frac {xy}{2}}-{\frac {x^{3}}{3}}+xy^{2}+y^{2}+{\frac {1}{7}}=0} is a multivariate polynomial equation over the rationals. Some but not all polynomial equations with rational coefficients have a solution that is an algebraic expression that can be found using a finite number of operations that involve only those same types of coefficients (that is, can be solved algebraically). This can be done for all such equations of degree one, two, three, or four; but for degree five or more it can only be done for some equations, not all. A large amount of research has been devoted to compute efficiently accurate approximations of the real or complex solutions of a univariate algebraic equation (see Root-finding algorithm) and of the common solutions of several multivariate polynomial equations (see System of polynomial equations).
Numerology
Chaldean Numerology
The numerical value of polynomial equation in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of polynomial equation in Pythagorean Numerology is: 9
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"polynomial equation." Definitions.net. STANDS4 LLC, 2024. Web. 13 May 2024. <https://www.definitions.net/definition/polynomial+equation>.
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