Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Review - Concept Check - Page 319: 6

Answer

$P(x)=D(x)\times Q(x)+R(x)$ $\frac{P(x)}{D(x)}=Q(x)+\frac{R(x)}{D(x)}$

Work Step by Step

If the functions $P$ and $D$ are any polynomials, then we can divide the function $P$ by the function $D$ using either long division or synthetic division if $D$ is a linear function. The result of the division can be written in the following equivalent forms : $P(x)=D(x)\times Q(x)+R(x)$ $\frac{P(x)}{D(x)}=Q(x)+\frac{R(x)}{D(x)}$ But note, $D(x)\ne 0$
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