However, note that , where also divides the two polynomials.
This is the difference with polynomials : you can't stick to unit (leading coeff = 1) polynomials as hcf.
Any multiple of a common factor is also a common factor.
hmm, is it always necessary to include k? It makes sense being there but my lecturer didn't use it.
Actually yep (I checked on the wikipedia), because we want a unique hcf, so there are two possibilities :
k=1 or k=gcd(leading coefficients of the polynomials)
Sorry for the confusion :s
But I hope it'll be useful for ya in the future