Question

If the numerator and the denominator of a rational function have no common factors, the rational function is _______ .

Short answer

If the numerator and the denominator of a rational function have no common factors, the rational function isin lowest terms.

Step-by-step solution

Step 1 Definition for the rational function:

A rational function is onethat can be written as a polynomial divided by apolynomial.

For example,

$f\left(x\right)=\frac{x^2+1}{x-1}$

Step 2 If the numerator and the denominator of a rational function have no common factors,

then the rational function is in lowest terms.

The further division of the numerator by its denominator will not be possible.

This is why it is will be in its lowest terms.