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Equation vs. Polynomial — What's the Difference?

Equation vs. Polynomial — What's the Difference?

Difference Between Equation and Polynomial

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Equation

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=". The word equation and its cognates in other languages may have subtly different meanings; for example, in French an équation is defined as containing one or more variables, while in English, any equality is an equation.Solving an equation containing variables consists of determining which values of the variables make the equality true.

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 exponentiation of variables. An example of a polynomial of a single indeterminate x is x2 − 4x + 7.

Equation

The act or process of equating or of being equated.

Polynomial

Of, relating to, or consisting of more than two names or terms.

Equation

The state of being equal.
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Polynomial

A taxonomic designation consisting of more than two terms.

Equation

(Mathematics) A statement asserting the equality of two expressions, usually written as a linear array of symbols that are separated into left and right sides and joined by an equal sign.

Polynomial

An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to nonnegative integral powers. For example, x2 - 5x + 6 and 2p3q + y are polynomials. Also called multinomial.

Equation

(Chemistry) A representation of a chemical reaction, usually written as a linear array in which the symbols and quantities of the reactants are separated from those of the products by an arrow or a set of opposing arrows.

Polynomial

An expression of two or more terms.

Equation

A complex of variable elements or factors
"The world was full of equations ... there must be an answer for everything, if only you knew how to set forth the questions" (Anne Tyler).

Polynomial

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 a_n x^n + a_{n-1}x^{n-1} + ... + a_0 x^0. Category:en:Polynomials

Equation

The act or process of equating two or more things, or the state of those things being equal (that is, identical).
We need to bring the balance of power into equation

Polynomial

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

Equation

(mathematics) An assertion that two expressions are equal, expressed by writing the two expressions separated by an equal sign; from which one is to determine a particular quantity.

Polynomial

(algebra) Able to be described or limited by a polynomial.

Equation

(astronomy) A small correction to observed values to remove the effects of systematic errors in an observation.

Polynomial

(taxonomy) of a polynomial name or entity

Equation

A making equal; equal division; equality; equilibrium.
Again the golden day resumed its right,And ruled in just equation with the night.

Polynomial

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

Equation

An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc.

Polynomial

Containing many names or terms; multinominal; as, the polynomial theorem.

Equation

A quantity to be applied in computing the mean place or other element of a celestial body; that is, any one of the several quantities to be added to, or taken from, its position as calculated on the hypothesis of a mean uniform motion, in order to find its true position as resulting from its actual and unequal motion.

Polynomial

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

Equation

A mathematical statement that two expressions are equal

Polynomial

A mathematical expression that is the sum of a number of terms

Equation

A state of being essentially equal or equivalent; equally balanced;
On a par with the best

Polynomial

Having the character of a polynomial;
A polynomial expression

Equation

The act of regarding as equal

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