Let m E Z. Prove that m³ – 7m – 12 is divisible by 6 for every interger m. Do not use induction.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 34E
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use cadinality, or divisibility and division algorithm, or Greatest Common Divisors and the Euclidean Algorithm

Let m e Z. Prove that m3 – 7m – 12 is divisible by 6 for every interger m. Do not use induction.
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Transcribed Image Text:Let m e Z. Prove that m3 – 7m – 12 is divisible by 6 for every interger m. Do not use induction. -
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