Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 11 - Polynomial and Rational Functions - Strengthen Your Understanding - Page 489: 19



Work Step by Step

The zero of a polynomial is when $f(x)=0$. Take the polynomial $p(x)=1+x$. To find the roots, use $p(x)=0$ to get $$0=1+x \implies x=-1$$ Therefore, the root is at $x=-1$, contrary to the statement ($p(0)=1$). Thus, the statement is false.
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