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Show that if am + 1 is composite if a and m are integers

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 9E Chapter 4.3

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 9E

Show that if am + 1 is composite if a and m are integers greater than 1 and m is odd. [Hint: Show that x + 1 is a factor of the polynomial xm+ 1 if m is odd.]

Step-by-Step Solution:

SolutionIn this question we need to show that is composite if a and m are integers greater than 1 and m is odd.Step 1 It is given that also, Then =where Now, as and since Therefore , is composite Hence proved.

Step 2 of 1

Chapter 4.3, Problem 9E is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

Since the solution to 9E from 4.3 chapter was answered, more than 387 students have viewed the full step-by-step answer. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The answer to “Show that if am + 1 is composite if a and m are integers greater than 1 and m is odd. [Hint: Show that x + 1 is a factor of the polynomial xm+ 1 if m is odd.]” is broken down into a number of easy to follow steps, and 39 words. The full step-by-step solution to problem: 9E from chapter: 4.3 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This full solution covers the following key subjects: show, odd, integers, hint, Greater. This expansive textbook survival guide covers 101 chapters, and 4221 solutions.

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Show that if am + 1 is composite if a and m are integers