Finding the root of a degree $5$ polynomial $\textbf{Question}$: which of the following $\textbf{cannot}$ be a root of a polynomial in $x$ of the form $9x^5+ax^3+b$, where $a$ and $b$ are integers? 
A) $-9$
B) $-5$
C) $\dfrac{1}{4}$
D) $\dfrac{1}{3}$
E) $9$ 

I thought about this question for a bit now and can anyone provide any hints because I have no clue how to begin to eliminate the choices? 

Thank you very much in advance. 

Use the rational root theorem, and note that the denominator of one of the options given does not divide $9$...
