### 2.25.3 Euclidean quotient : `Quo`

`Quo` is the inert form of `quo`.

`Quo` returns the euclidean quotient between two polynomials
(decreasing power division) without evaluation.
It is used when `Xcas` is in Maple mode to compute
the euclidean quotient of the division of two
polynomials with coefficients in ℤ/*p*ℤ using Maple-like syntax.

In `Xcas` mode, input :

`Quo(x``^`

`2+2*x+1,x)`

Output :

`quo(x``^`

`2+2*x+1,x)`

In `Maple` mode, input :

`Quo(x``^`

`3+3*x,2*x``^`

`2+6*x+5) mod 5`

Output :

`-(2)*x+1)`

The division was done using modular arithmetic, unlike with

`quo(x``^`

`3+3*x,2*x``^`

`2+6*x+5) mod 5`

where the division is done in ℤ[*X*] and reduced after to:

`3*x-9`

If `Xcas` is not in Maple mode, polynomial division
in ℤ/*p*ℤ[*X*] is done e.g. by :

`quo((x^3+3*x)% 5,(2x^2+6x+5)%5)`