Question 201752
Before  we  divide  polynomials,  let's  review  division  in general.
.
The  algorithm  is,,,divide,,multiple,,substract,,and bring down,,,then  repeat
.
,,,,,,,,,,,,,,x^2 +2x +3
,,,,,,,____________________
,,x-1,,[ x^3 +x^2 +x -3
,,,,,,,,,x^3 -x^2
,,,,,,,,,________
,,,,,,,,,,,,,2x^2 +x
,,,,,,,,,,,,,2x^2 -2x
,,,,,,,,,,,,,________
,,,,,,,,,,,,,,,,,,3x -3
,,,,,,,,,,,,,,,,,,3x -3
,,,,,,,,,,,,,,,,,,______
,,,,,,,,,,,,,,,,,,,,,,0
.
to  check,  multiply (x^2 +2x +3) * (x-1) = x^3 +x^2 +x -3,,,,,ok