Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 4 - Elementary Number Theory and Methods of Proof - Exercise Set 4.2 - Page 169: 34

Answer

(a) see table below (b) No.

Work Step by Step

(a) construct a table as shown below to list all the possibilities. (b) The coefficients are $7, -8, -27$ or $odd, even, odd$ which is not a case shown in the table, thus it can not be written as a product of three polynomials with integer coefficients.
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