Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 4 - Polynomial and Rational Functions - 4.5 The Real Zeros of a Polynomial Function - 4.5 Assess Your Understanding - Page 233: 38



Work Step by Step

If $p$ is a factor of the constant term and $q$ is a factor of the leading coefficient, then the potential zeros can be gained by the possible combinations in $\frac{p}{q}$. The given polynomial function has a constant term of $2$ and a leading coefficient of $6$. The possible factors $p$ of the constant term and $q$ of the leading coefficient are: $p=\pm1,\pm2$ $q=\pm1,\pm2,\pm3,\pm6$ Thus, the possible rational roots of $f(x)$ are: $\frac{p}{q}=\pm\frac{1}{2},\pm\frac{1}{3},\pm\frac{1}{6},\pm\frac{2}{3},\pm1,\pm2$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.