Coefficient
A coefficient gives a constant value in a product with a variable. Often it is a factor or a parameter. In its simplest form you get
a · xn
Example 1
In the polynomial with the variable x, are a0, a1, a2, ... , an the coefficients of the succeeding terms
Example 2
In the binomium with the variables a and b are the coefficients combinations. They are called binomial coefficients
Example 3
In the constant multiple rule is u a function of the variable x, and is the coefficient c a constant