Question

求大神，将下面假分式化为多项式与真分式之和。

Answer 1

...............................x^2+x+4
.........-------------------------------
x^3-4x)x^5+x^4+ -8
..........x^5........-4x^3
..........-------------------
................x^4+4x^3
................x^4.........-4x^2
...............-------------------
......................4x^3+4x^2
......................4x^3..........-4x
.....................--------------------------
..............................4x^2+4x-8.
∴原式=x^2+x+4+(4x^2+4x-8)/(x^3-4x)
=x^2+x+4+(4x-4)/(x^2-2x).