Exercise
The gcd of the polynomials X3 + 1 and X4 - 1 in R[X] equals
1
X - 1.
X + 1
No, use the algorithm!
No, X - 1 does not divide X3 + 1
Yes.
Exercise
The gcd of the polynomials X3 + 1 and X4 - 1 in R[X] equals
1
X - 1.
X + 1