In a ploynomial or differential equation or really any formula or equation with variables in it, the coefficients are the terms "in front of" the variable or multiplied the variables. Each variable generally has its own coefficient. If a coefficient is constant (ie just a number) then it is a constant coefficient. eg Consider the polynomial , 3x2+9yx+6 in terms of x. It has one constant coefficient (3), one variable coefficient (9y) and one constant (6).
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9 is the constant. 5 is the coefficient of the variable term. X is the variable term.
if there is something like 4x^2, then the 4 is the coefficient. It is the coefficient of the X. The squared part is the exponent. If something is just 2x, then the 2 is the exponent. It is the known number, the constant that is multiplied times the X.
8
The numbers that are represented by a variable is better known as a coefficient. Otherwise known as a constant. The constant always stays the same such as in a scientific problem in an experiment.
We call a number that has no variable attached to it, a constant. A number attached to a variable, as in 3x, is called a coefficient.