Answer:
The given expression can't be expressed in polynomial form. Hence, it is not a polynomial.
Step-by-step explanation:
P(x,n) is a polynomial of nth degree if it is of the form,
P(x,n) = [tex]a_{0} + a_{1}x + a_{2}x^{2} + a_{3}x^{3} + ......... +a_{n}x^{n}[/tex]
where n is a finite positive integer and n ∈ N
and '[tex]a_{i}[/tex]'s are fixed but otherwise arbitrary constants ∀ i = 0(1)n .
Now, the given expression is,
[tex]9x^{3} + \frac {1}{2x^{2}} + 3x^{-1}[/tex]
which doesn't fit in the above form. Hence, it is not a polynomial.
