Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 3 - Polynomial and Rational Functions - Section 3.2 The Real Zeros of a Polynomial Function - 3.2 Assess Your Understanding - Page 223: 10

Answer

$\text{True}$

Work Step by Step

The Division Algorithm for polynomials states that when a polynomial $f(x)$ with degree $n$ is divided by a polynomial $(x−a)$ whose degree is $1$, then we get a polynomial with degree $(n−1)$ polynomial $p(x) +\dfrac{ r(x)}{(x−c)}$ and $R(x)=f(a)$. Therefore, the statement is True.
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