# Definitions for Polynomialˌpɒl əˈnoʊ mi əlpo·ly·no·mi·al

### Princeton's WordNetRate this definition:2.8 / 5 votes

a mathematical function that is the sum of a number of terms

having the character of a polynomial

"a polynomial expression"

### WiktionaryRate this definition:2.0 / 3 votes

1. polynomialnoun

An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as .

2. polynomialnoun

A taxonomic designation (such as of a subspecies) consisting of more than two terms.

Able to be described or limited by a polynomial.

of a polynomial name or entity

5. Etymology: poly- + -nomial

### WikipediaRate this definition:2.0 / 1 vote

1. Polynomial

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a polynomial of a single indeterminate, x, is x2 − 4x + 7. An example in three variables is x3 + 2xyz2 − yz + 1. Polynomials appear in many areas of mathematics and science. For example, they are used to form polynomial equations, which encode a wide range of problems, from elementary word problems to complicated scientific problems; they are used to define polynomial functions, which appear in settings ranging from basic chemistry and physics to economics and social science; they are used in calculus and numerical analysis to approximate other functions. In advanced mathematics, polynomials are used to construct polynomial rings and algebraic varieties, central concepts in algebra and algebraic geometry.

### ChatGPTRate this definition:0.0 / 0 votes

1. polynomial

A polynomial is a mathematical expression involving a sum of powers in one or more variables or indeterminates, multiplied by coefficients. A polynomial in one indeterminate (or variable) is referred to as univariate, while a polynomial in more than one indeterminate is referred to as multivariate. The degree of the polynomial is the highest power of the indeterminate. The coefficients are often real or complex numbers, but can be any mathematical objects as long as addition and multiplication are defined.

### Webster DictionaryRate this definition:2.0 / 1 vote

1. Polynomialnoun

an expression composed of two or more terms, connected by the signs plus or minus; as, a2 - 2ab + b2

containing many names or terms; multinominal; as, the polynomial theorem

consisting of two or more words; having names consisting of two or more words; as, a polynomial name; polynomial nomenclature

4. Etymology: [Poly- + -nomial, as in monomial, binomial: cf. F. polynme.]

### FreebaseRate this definition:2.0 / 1 vote

1. Polynomial

In mathematics, polynomials are the simplest class of mathematical expressions. A polynomial is an expression constructed from variables and constants, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents. However, the division by a constant is allowed, because the multiplicative inverse of a non-zero constant is also a constant. For example, x² − x/4 + 7 is a polynomial, but x² − 4/x + 7x3/2 is an algebraic expression that is not a polynomial, because its second term involves a division by the variable x, and also because its third term contains an exponent that is not a non-negative integer. A polynomial function is a function which is defined by a polynomial. Sometimes, the term polynomial is reserved for the polynomials that are explicitly written as a sum of terms involving only multiplications and exponentiation by non negative integer exponents. In this context, the other polynomials are called polynomial expressions. For example, is a polynomial expression that represents the same thing as the polynomial The term "polynomial", as an adjective, can also be used for quantities that can be expressed as a polynomial of some parameter, as in polynomial time, which is used in computational complexity theory.

### Chambers 20th Century DictionaryRate this definition:2.0 / 1 vote

1. Polynomial

pol-i-nō′mi-al, n. an algebraic quantity of many names or terms—same as multinomial—also Pol′ynome.—adj. of many names or terms.—n. Polynō′mialism. [Gr. polys, many, L. nomen, a name.]

### Numerology

1. Chaldean Numerology

The numerical value of Polynomial in Chaldean Numerology is: 4

2. Pythagorean Numerology

The numerical value of Polynomial in Pythagorean Numerology is: 6

### Popularity rank by frequency of use

Polynomial#10000#14963#100000

## Translations for Polynomial

### From our Multilingual Translation Dictionary

• polinomies, polinoom
• متعدد الحدود
• polinomial, polinomi
• polynomický, polynom
• polynomium
• Polynom
• πολυώνυμος, πολυώνυμο, πολυωνυμικός
• polinomial, polinómico, polinomio
• چند جملهای
• polynomi, polynominen
• polynôme, polynomiale, polynominal, polynominale, polynomial
• बहुपद
• polinomiális, polinom
• polinomial
• margliða
• polinomio, polinomiale
• רַב אֵיבָר
• 多項式
• ಬಹುಪದೋಕ್ತಿ
• 다항식
• polynomial
• polynoom
• polynom
• wielomian, wielomianowy
• polinomial, polinómio
• polinomic, polinom, polinomial
• полиномиальный, многочленный, многочлен
• polynomiell, polynom
• பல்லுறுப்புக்கோவை
• బహుపది
• พหุนาม
• polinom
• многочлен
• بہپد
• đa thức
• פּאַלינאָומיאַל
• 多项式

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"Polynomial." Definitions.net. STANDS4 LLC, 2023. Web. 1 Oct. 2023. <https://www.definitions.net/definition/Polynomial>.

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