In math, any function which can be
defined by a rational fraction, i.e. an algebraic
fraction such that
both the numerator and the denominator are polynomials is called a rational function.
On the other hand, <span>a relationship between two variables in which
the product is a constant is called an inverse variation.
</span>To add, a rational function is the ratio of two POLYNOMIALS
and the domain and range of rational functions do not usually contain all the real numbers and they
often have what are called asymptotes, Meanwhile, the inverse variation
means you are given some function, and you need to find the function that exchanges
inputs and outputs.
1) you cannot factorize it, or 2) the binomial is not the right one to be the quotient or 3) the roots of the binomial are not the roots of the polynomial