Factor It 4
Algebra
Level
2
True or False?
If \(p\) is a prime number, then the smallest positive integer \(n\) such that \(x^n-1\) factors into \(p\) distinct irreducible factors is \(n = 2^{p-1}\) (irreducible over the rationals).
Bonus: Provide proof.
by
Christopher Criscitiello