Exercise
Let f and g be polynomials with gcd(f,g) = 1. Suppose that h is a polynomial such that f divides the product gh2. Then
f divides h2.
f divides gh.
f divides h.
Correct. How does it follow from the theorem?
No, this is not correct. Take f = X2,
g = 1, h = X.
No, take f = X2,
g = 1, h = X.