multiplicative factor involved in some term of a polynomial, a series, or an expression

In mathematics, a coefficient is a constant multiplicative factor of a certain object. For example, the coefficient in 9x2 is 9. A coefficient can also be a variable such as , and .[1][2]

English Wiktionary
English Wiktionary
The English Wiktionary has a dictionary definition (meanings of a word) for: coefficient

The object can be such things as a variable, a vector, a function, etc. In some cases, the objects and the coefficients are indexed similarly, leading to expressions such as:

where an is the coefficient of the variable xn for each n = 1, 2, 3, …[3]



  1. "Compendium of Mathematical Symbols". Math Vault. 2020-03-01. Retrieved 2020-08-15.
  2. "Definition of Coefficient". Retrieved 2020-08-15.
  3. Weisstein, Eric W. "Coefficient". Retrieved 2020-08-15.