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: 38

Answer

$Q(x)=x^{3}-2x^{2}+4x-8,\quad R(x)=0$

Work Step by Step

Important: zeros for missing powers of P(x). $\left.\begin{array}{l} -2 \ \lfloor \\ \\ \\ \end{array}\right.\begin{array}{rrrrr} 1 & 0 & 0 & 0 & -16 \\\hline & -2 & 4 & -8 & 16 \\\hline 1 & -2 & 4 & -8 &|\ \ \ 0 \end{array}$ $Q(x)=x^{3}-2x^{2}+4x-8,\quad R(x)=0$
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