Identify the following ARMA models and see if there is any parameter redundancy. Find the values for p and q

Lets first check for redundancy.
Our given equation is y=yt-1-.5yt-2+et-.25et-1
For this first we will have to check the AR polynomial. The AR polynomial can't be calculated as there is no real solution for decomposing yt. We can check the same by trying to solve for 1-z+.5z2 and trying to decompose it. It can't be done.
Since there is no root for AR polynomial, it will not share any root with the MA polynomial and hence, there is no parameter redundancy.
The p is 2 since yt, yt-1 and yt-2 are present.
The q is 1 since there is only one lag (et-1) on the error term et
Identify the following ARMA models and see if there is any parameter redundancy. Find the values...
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