Mark each of the following true or false. ___ a. n (x) is irreducible over every

Mark each of the following true or false.
___ a. Ф_n(x) is irreducible over every field of characteristic 0.
___ b. Every zero in c of Ф_n(x) is a primitive nth root of unity.
___ c. The group of Ф_n(x) ∈ Q[x] over Q has order n.
___ d. The group of Ф_n(x) ∈ Q[x] over Q is abelian.
___ e. The Galois group of the splitting field of Ф_n(x) over Q has order φ(n).
___ f. The regular 25-gon is constructible with a straightedge and a compass.
___ g. The regular 17-gon is constructible with a straightedge and a compass.
___ h. For a prime p, the regular p-gon is constructible if and only if p is a Fermat prime.
___ i. All integers of the form 2^(2k) + 1 for nonnegative integers k are Fermat primes.
___ j. All Fermat primes are numbers of the form 2^(2k) + 1 for nonnegative integers k.