A coefficient is a numerical or constant factor that multiplies a variable in an algebraic expression, serving as a measure of some property or relationship. It quantifies the degree of change in one variable relative to another in mathematical models and equations, playing a crucial role in fields like algebra, statistics, and physics.
Polynomial form refers to the representation of a polynomial as a sum of terms, each consisting of a coefficient multiplied by a variable raised to a non-negative integer exponent. This form is fundamental in algebra for analyzing the behavior of polynomial functions and solving polynomial equations.