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What are the specific steps to find XGCD on the polynomial ring $Z_8[x]$

Division cannot be performed on loops with zero divisors. There are zero divisors in Z8[x], how do we calculate the value of XGCD in a polynomial ring Z8[x] ?

What are the specific steps to find XGCD on the polynomial ring $Z_8[x]$

Division cannot be performed on loops rings with zero divisors. There are zero divisors in Z8[x], how do we calculate the value of XGCD in a polynomial ring Z8[x] ?