** suivant:** Euclidien remainder: Rem
** monter:** Arithmetic and polynomials
** précédent:** Euclidean quotient : Quo
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##

Euclidean remainder : `rem`

`rem` returns the euclidean remainder between two polynomials
(decreasing power division). If the polynomials are represented as
expressions, the variable may be specified as a third
argument.

Input :
`rem(x``^`

3-1,x`^`

2-1)

Output :
`x-1`

To have the remainder of *x*^{2} + 2*x* + 4 by *x*^{2} + *x* + 2 we can also input :
`rem([1,2,4],[1,1,2])`

Output :
`[1,2]`

i.e. le polynomial *x* + 2.

giac documentation written by Renée De Graeve and Bernard Parisse