Solution Found!
Show that x4 + 1 is reducible over Zp for every prime p.
Chapter 17, Problem 29E(choose chapter or problem)
QUESTION:
Show that x4 + 1 is reducible over Zp for every prime p. (This exercise is referred to in this chapter.)
Questions & Answers
QUESTION:
Show that x4 + 1 is reducible over Zp for every prime p. (This exercise is referred to in this chapter.)
ANSWER:Step 1 of 8
Consider the polynomial
Need to prove is reducible over.
To prove this, first claim the statement,
”In , whereis an odd prime, there exists such that ”