Chapter 4.4, Problem 13AYU

If $R\left(x\right)\text{ = }\frac{p\left(x\right)}{q\left(x\right)}$ is a rational function and if $p$ and $q$ have no common factors, then $R$ is ________.

a. improper

b. proper

c. undefined

d. in lowest terms

To determine

If $R\left(x\right)=\frac{p\left(x\right)}{q\left(x\right)}$ is a rational function and if $p$ and $q$ have no common factors, then $R$ is __________.

a. Improper.

b. Proper.

c. Undefined.

d. In lowest terms.

Answer to Problem 13AYU

d. In lowest terms.

Explanation of Solution

If $R\left(x\right)=\frac{p\left(x\right)}{q\left(x\right)}$ is a rational function and if $p$ and $q$ have no common factors, then $R$ is in lowest terms.