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 $x-2$
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
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