Determine whether or not the following functions are polynom

Determine whether or not the following functions are polynomials. Explain your answer. If any are polynomials, also state the degree. a. f(x) = x - x^3 + pi b. g(x) = x + 5/x c. h(x) = x^100 + 100x^1/100

Solution

a) Yes, poly because
i) no x in denominator
ii) no x under a radical or root
iii) every x has a positive INTEGER xponent

b)
x in denominator

So, aint a polynomial

c)
x raised to power of 1/100, a fractional exponent...
We always need x as an integer

So, it aint a polynomial