Two polynomials are not divisible in rational number field, but divisible in complex number field? It is helpful for the responder to give an accurate answer
may not.
For polynomials P (x) and Q (x) with rational coefficients, if there is a polynomial f (x) over the complex field such that
P(x)=Q(x)f(x)
Then q is the greatest common factor of Q and P. we can study the division by rotation (Note: the process of division by rotation is determined, and the coefficients are rational numbers)