2x⁵-3x³-x+2 | x-2
- |-----------
2x⁵-2x⁴ | x⁴+2x³+x²+2x+3
-------------
2x⁴-3x³
-
2x⁴-4x³
---------------
x³
-
x³-2x²
----------------
2x²-x
-
2x²-4x
------------------
3x+2
-
3x-6
------------------
8
2x⁵-3x³-x+2 = (x⁴+2x³+x²+2x+3)(x-2)+8
Проверка:
(x⁴+2x³+x²+2x+3)(x-2)+8 = x⁵-2x⁴+2x⁴-4x³+x³-2x²+2x²-4x+3x-6+8 = x⁵-3x³-x+2