Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - 3.2 Synthetic Division - 3.2 Exercises - Page 325: 3

Answer

Fill the blanks with $ 1\quad$and$\quad 1$

Work Step by Step

We usually set up division as divisor $)\overline{\text{ dividend }}$ The divisor and dividend can be polynomials, in which case we perform polynomial division. When the divisor is a polynomial $(x-a)$ we can use synthetic division. Here, $a=1$. With synthetic division, in the divisor placeholder, we place $a,$ and in the dividend, we list ALL coefficients (including the zeros ), starting from highest power of x. $ \begin{array}{lllllll} & & -- & -- & -- & -- & \\ \fbox{$1$} & ) & \fbox{$1$} & 2 & 3 & & \\ & & & & & & \\ & & -- & -- & -- & -- & \\ & & & & & & \end{array} $ Fill the blanks with $ 1\quad$and$\quad 1$
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