Well!
I think you meant (x^4 - 2) / (x+1)
(x^4 - 2) / (x+1)
Writing it in polynomial form with co-efficients
x^4 - 2 = 1 x^4 + 0 x^3 + 0 x^2 + 0 x - 2
Now, writing the co-efficients alone, for synthetic division
Synthetic Division
x |
c |
|
x^4 |
x^3 |
x^2 |
x |
c |
|
Value |
Poly |
1 |
1 |
|
1 |
0 |
0 |
0 |
-2 |
|
|
|
|
|
|
1 |
1 |
|
|
|
|
1 |
x^3 |
|
|
|
0 |
-1 |
0 |
0 |
-2 |
|
|
REM |
|
|
|
|
-1 |
-1 |
|
|
|
-1 |
x^2 |
|
|
|
|
0 |
+1 |
0 |
-2 |
|
|
REM |
|
|
|
|
|
1 |
1 |
|
|
1 |
x |
|
|
|
|
|
0 |
-1 |
-2 |
|
|
REM |
|
|
|
|
|
|
-1 |
-1 |
|
-1 |
c |
|
|
|
|
|
|
0 |
-1 |
|
|
REM |
Further Division is not Possible.
Thus, (x^4 - 2) / (x+1)
Quotient: x^3 - x^2 + x -1
Remainder: -1