College Algebra (6th Edition)

by Blitzer, Robert F.

Published by Pearson

ISBN 10: 0-32178-228-3

ISBN 13: 978-0-32178-228-1

Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.3 - Page 376: 75

Answer

$x-2$

Work Step by Step

Let the polynomial be $ax+b$, then $(ax+b)(2x-3)+3=2x^2-7x+9\\2ax^2-(3a+2b)x-3b+3=2x^2-7x+9$ Thus $a=1,b=-2$, thus the polynomial is $x-2$

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