Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 3 - 3.4 - Zeroes of Polynomial Functions - 3.4 Exercises - Page 286: 112


$g(x)$ has zeros at $x=\frac{r_1}{2},~x=\frac{r_2}{2},~and~x=\frac{r_3}{2}$

Work Step by Step

We have that: $f(r_1)=f(r_2)=f(r_3)=0$ $g(\frac{r_1}{2})=f(2\frac{r_1}{2})=f(r_1)=0$ $g(\frac{r_2}{2})=f(2\frac{r_2}{2})=f(r_2)=0$ $g(\frac{r_3}{2})=f(2\frac{r_3}{2})=f(r_3)=0$
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