coefficientˌkoʊ əˈfɪʃ ənt

**coefficient** (n)

- plural
- coefficients

### English Definitions:

#### coefficient (noun)

a constant number that serves as a measure of some property or characteristic

#### coefficient (Noun)

A constant by which an algebraic term is multiplied.

#### coefficient (Noun)

A number, value or item that serves as a measure of some property or characteristic.

#### coefficient (Adjective)

cooperating

#### Coefficient

In mathematics, a coefficient is a multiplicative factor in some term of an expression; it is usually a number, but in any case does not involve any variables of the expression. For instance in the first two terms respectively have the coefficients 7 and −3. The third term 1.5 is a constant. The final term does not have any explicitly written coefficient, but is considered to have coefficient 1, since multiplying by that factor would not change the term. Often coefficients are numbers as in this example, although they could be parameters of the problem, as a, b, and c in when it is understood that these are not considered as variables. Thus a polynomial in one variable x can be written as for some integer, where are coefficients; to allow this kind of expression in all cases one must allow introducing terms with 0 as coefficient. For the largest with, is called the leading coefficient of the polynomial. So for example the leading coefficient of the polynomial is 4. Specific coefficients arise in mathematical identities, such as the binomial theorem which involves binomial coefficients; these particular coefficients are tabulated in Pascal's triangle.

#### Coefficient

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or an expression; it is usually a number, but may be any expression (including variables such as a, b and c). When the coefficients are themselves variables, they may also be called parameters. For example, the polynomial 2 x 2 − x + 3 {\displaystyle 2x^{2}-x+3} has coefficients 2, −1, and 3, and the powers of the variable x {\displaystyle x} in the polynomial a x 2 + b x + c {\displaystyle ax^{2}+bx+c} have coefficient parameters a {\displaystyle a} , b {\displaystyle b} , and c {\displaystyle c} . The constant coefficient (also known as constant term, free coefficient) is the coefficient not attached to variables in an expression. For example, the constant coefficients of the expressions above are the number 3 and the parameter c, respectively. The coefficient attached to the highest degree of the variable in a polynomial is referred to as the leading coefficient. For example, in the expressions above, the leading coefficients are 2 and a, respectively.

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"coefficient." *Kamus.net.* STANDS4 LLC, 2024. Web. 28 Feb. 2024. <https://www.kamus.net/english/coefficient>.

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