I have the following equation:
$$H(z) = \frac{z^3+5z^2+3z+1}{10z^3}$$
I want to find out whether if its IIR or FIR. Here is the steps I have gone so far: $$H(z) = \frac{1}{10}\frac{z^3+5z^2+3z+1}{z^3}$$ Dividing nominator with denominator to find reminder gave me(I think its wrong): $$z^3+5z^2+3z$$ After this step I have a $1$ as remainder and I do not know what to do with it.
Can someone please tell me the right procedure step by step?