Definition & Notation 
 Precalc definition:
 an algebraic
expression or
function,
produced by the DIVISION of polynomials, with the use of one
variable x  fraction expressions or fraction functions

 a_{n}x^{n} + a_{n1}x^{n1} + a_{n2}x^{n2} +
... +a_{2}x^{2} + a_{1}x^{1} + a_{0}x^{0}
 __________________________________________
 b_{n}x^{n} + b_{n1}x^{n1} + b_{n2}x^{n2} +
... +b_{2}x^{2} + b_{1}x^{1} + b_{0}x^{0}

 in which the
constants
a_{n}, a_{n1}, a_{n2}, ... , a_{2}, a_{1}, a_{0},
b_{n}, b_{n1}, b_{n2}, ... , b_{2}, b_{1}, b_{0} are
real,
 and serve as
coefficients or the constant term,
 and in which all
exponent of x are
counting numbers.
