You can 
put this solution on YOUR website! .
This expression is a polynomial  relative to variable  "c".
It  is not a polynomial  relative to variable  "b".
Relative "c",  it is a polynomial of the degree 4.
The words (the terms) "the type of the polynomial" are not defined as a universal term for polynomials.
When used, it may depend on a context.
Since a context is not given and is not clear from the post, this request is UNDEFINED.