Answer
$(2x-1)(x+3)(x-3)$
Work Step by Step
The product of a binomial sum and a binomial difference is: $(A+B)(A-B)=A^2-B^2$.
Hence:
$2x^3-x^2-18x+9=\\=x^2(2x-1)-9(2x-1)\\=(2x-1)(x^2-9)\\=(2x-1)(x+3)(x-3)$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 5 - Review Exercises - Page 400: 73
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