Euclidian quotient and euclidian remainder : quorem

### 2.31.7 Euclidian quotient and euclidian remainder : `quorem`

`quorem` takes as arguments two polynomials A and B with coefficients in ℤ/pℤ, where A and B are list polynomials or symbolic polynomials with respect to x or to an optionnal third argument.
`quorem` returns the list of the quotient and remainder of the euclidian division of A by B in ℤ/pℤ[x] (see also 2.6.12 and 2.25.6).
Input :

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

Or :

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

Output:

`[(-6%13)*x+-6%13,(-2%13)*x+-1%13]`

Indeed x3+x2+1=(2x2+4)(x+1/2)+5x−4/4
and −3*4=−6*2=1 mod13.