Question

what is a polynomial expression

Answer 1

which has variables and constant such as
12x^3 + 4b^2 + c

Answer 2

a string of terms in which the exponents on variables must be whole numbers.
for example, x^3 + x^2
exponent on variable cannot be negative (no variable in denominator) or a fraction.

Answer 3

do all rational functions have asymptotes?

Answer 4

No, not all rational functions have asymptotes.