Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Appendix C - Synthetic Division and the Remainder Theorem - C Exercise Set - Page 992: 4


The given statement is false.

Work Step by Step

Consider the expression: $\frac{f\left( x \right)}{g\left( x \right)}$ If $g\left( x \right)=0$, then $\frac{f\left( x \right)}{g\left( x \right)}$ becomes $\frac{f\left( x \right)}{0}$. It is known that anything divided by zero is undefined. So, the form $\frac{f\left( x \right)}{g\left( x \right)}$ does not exist if $g\left( x \right)=0$. Therefore, the given statement is false.
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