Answer:
A rational expression is a quotient between two polynomials. To write them in a simplified way, you can search the roots of the functions and see if you can cancel any part of the expression of the numerator with one of the denominator.
Step-by-step explanation:
In other words, functions are factored to see if there are coindicent roots that can be canceled, here is an example:
[tex]f(x)=\frac{x^{2} -4}{x^{2} -3x+2} =\frac{(x+2)(x-2)}{(x-1)(x-2)} =\frac{x+2}{x-1}[/tex]
In this example, we can cancel the term (x-2), because it is both in the numerator and in the denominator. In this way we get a simplified expression.
