"Mono" means "One", and "Rail" means "Rail"...
Seriously though, a monomial consists of ONE term, a polynomial consists of MANY terms (as "Poly" means "Many").
I am having a hard time grasping what makes something a monomial and then subsequently a polynomial. I get that division by a variable is not allowed and therefore not a monomial but why is that? I just like to make sense of these things as I find it much easier to retain if I understand something.
Also, why is something like 3^1/2x not a monomial when a square root of a constant by itself is? How is that any different than any other constant times a variable?
Thanks for the help.
Okay, well that is what I thought. Makes sense anyways, I guess my book is taking the 3^1/2x is not approach. Thanks for clarifying that it is not a universal agreement.
Again though, why is dividing by a variable not considered a monomial? What is the thinking behind this concept? (or is that what is not universally agreed upon?)