Question

x^4+2x^3+x^2+6 разделаить с остатком на x^2+x+1

Answer 1

x^4+2x^3+x^2+6=x^2(x^2+x+1)+x^3+6

(x^2(x^2+x+1)+x^3+6):(x^2+x+1)=x^2  и остаток (x^3+6)

Answer 2

                 х^4 + 2x^3 + x^2 +6    I     x^2 + x + 1

                 x^4 + x^3 + x^2                 x^2 + x

                          x^3 + 0x^2 +6

                          x^3 +  x^2 + x

                                  - x^2 - x +6    

 

( х^4 + 2x^3 + x^2 +6) : (x^2 + x + 1) = x^2 + x ( ост. - x^2 - x +6 )