### 2.32.2 Euclidien remainder: `Rem`

`Rem` is the inert form of `rem`.
`Rem` returns the euclidean remainder between two polynomials without evaluation. It is used in conjonction with `mod` in Maple syntax mode to compute the euclidean remainder of the division of two polynomials with coefficients in ℤ/pℤ.
Input in `Xcas` mode :

`Rem((x```^```3+x```^```2+1) mod 13,(2*x```^```2+4) mod 13)`

Output :

`rem((x```^```3+x```^```2+1)%13,(2*x```^```2+4)%13)`

you need to `eval(ans())` to get :

`(-2%13)*x+-1%13`

Input in `Maple` mode :

`Rem(x```^```3+x```^```2+1,2*x```^```2+4) mod 13`

Output :

`(-2)*x-1`

Input in `Maple` mode :

`Rem(x```^```2+2*x,x```^```2+6*x+5) mod 5`

Output :

`1*x`