College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Polynomial and Rational Functions - Concept and Vocabulary Check: 2

Answer

true

Work Step by Step

The Rational Zero Theorem$:$ If $f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\cdots+a_{1}x+a_{0}$ has INTEGER coefficients and $\displaystyle \frac{p}{q}$ (where $p$ is reduced to lowest terms) is a rational zero of $f$, then $p$ is a factor of the constant term, $a_{0}$, and $q$ is a factor of the leading coefficient, $a_{n}$. ------------------------- $p=3$ is a factor of 6 ($a_{o}$, constant$),$ $q=2$ is a factor of 2 ($a_{3}$, leading) $\displaystyle \frac{3}{2}$ is a possible zero (needs testing)
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