College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 3, Polynomial and Rational Functions - Section 3.3 - Dividing Polynomials - 3.3 Exercises - Page 310: 43

Answer

$-7$

Work Step by Step

Remainder Theorem: If the polynomial $P(x)$ is divided by $x-c$ , then the remainder is the value $P(c)$ . Important: zeros for missing powers of P(x). $\left.\begin{array}{l} -2 \ \lfloor \\ \\ \\ \end{array}\right.\begin{array}{rrrrr} 1 & 2 & 0 & -7 \\\hline & -2 & 0 & 0 \\\hline 1 & 0 & 0 &|\ \ \ -7 \end{array}$ $R(x)=P(-2)=-7$
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