I was taught that when you have a polynomial fraction where the denominator is of a higher degree than the numerator, it can't be reduced any further. This seems wrong to me for a couple of reasons. 1. If the denominator can be factored some of the terms may cancel out 2. Say you have the expressions a) b) B divides out to Couldn't A be expressed as the reciprocal of this? If so, which is the simplest form? A or this reciprocal? Why? I don't think I understand what "simplest form" means in terms of polynomial fractions. Hopefully this question makes sense.