Let F be a field and let a be a nonzero element of F.a. If
Chapter 17, Problem 5E(choose chapter or problem)
Problem 5E
Let F be a field and let a be a nonzero element of F.
a. If af(x) is irreducible over F, prove that f(x) is irreducible over F.
b. If f(ax) is irreducible over F, prove that f(x) is irreducible over F.
c. If f(x+ a) is irreducible over F, prove that f(x) is irreducible over F.
d. Use part c to prove that 8x3 – 6x + 1 is irreducible over Q. (This exercise is referred to in this chapter.)
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer