You can
put this solution on YOUR website! Use polynomial division and account for the progression of degrees for x and y.
The starting arrangement:
|________________________________________________________________
x+y | x^5 0*x^4*y 0*x^3*y^2 0*x^2*y^3 0*x*y^4 y^5
|
First partial quotient:
| x^4
|________________________________________________________________
x+y | x^5 0*x^4*y 0*x^3*y^2 0*x^2*y^3 0*x*y^4 y^5
| x^5 x^4*y
__________________
0 -x^4*y
| x^4 -x^3*y
|________________________________________________________________
x+y | x^5 0*x^4*y 0*x^3*y^2 0*x^2*y^3 0*x*y^4 y^5
| x^5 x^4*y
__________________
0 -x^4*y 0*x^3*y^2
-x^4*y -x^3*y^2
_______________________
0 x^3*y^2
| x^4 -x^3*y x^2*y^2
|________________________________________________________________
x+y | x^5 0*x^4*y 0*x^3*y^2 0*x^2*y^3 0*x*y^4 y^5
| x^5 x^4*y
__________________
0 -x^4*y 0*x^3*y^2
-x^4*y -x^3*y^2
_______________________
0 x^3*y^2 0*x^2*y^3
x^3*y^2 x^2*y^3
______________________
0 0
| x^4 -x^3*y x^2*y^2 0 y^4
|________________________________________________________________
x+y | x^5 0*x^4*y 0*x^3*y^2 0*x^2*y^3 0*x*y^4 y^5
| x^5 x^4*y
__________________
0 -x^4*y 0*x^3*y^2
-x^4*y -x^3*y^2
_______________________
0 x^3*y^2 0*x^2*y^3
x^3*y^2 x^2*y^3
______________________
0 0 0*x*y^4
0 0
___________________
x*y^4 y^5
x*y^4 y^5
________________
0 0
|________________________________________________________________
x+y | x^5 0*x^4*y 0*x^3*y^2 0*x^2*y^3 0*x*y^4 y^5
|
Result of the division is the top line showing the quotient:
(