不知道楼主多大,有没有学多次幂的因式分解,我这里有十几道题,基本上都是指数为3的因式.不知有没有用.（在x后边的数字都是指数,我觉得^符号打太多了容易乱..）
1）x3-4x2+5x-2
2）x3+3x2-x-3
3）x3-3x2-4x+12
4）x3-5x2-8x+12
5）x3-7x-6
6）x3+x2-14x-24
7）2x3-3x2-8x -3
8）3x3-2x2-3x+2
9）6x3-x2-5x+2
10）8x3+2x2-13x+3
11）6x3+17x2+6x-8
12）2x3-7x2-3x+18
＊13）18x3+9x2-47x+14
＊14）121x3+154x2+15x-18
＊15）170x3-71x2-11x+2
＊16）x4-10x3+35x2-50x+24
下边是答案
1）x3-4x2+5x-2
=(x-1)(x2-3x+2)
=(x-1)(x-1)(x-2)
2）x3+3x2-x-3
= (x-1)(x2+4x+3)
= (x-1)(x+1)(x+3)
3）x3-3x2-4x+12
= (x-2)(x2-x-6)
= (x-2)(x+2)(x-6)
4）x3-5x2-8x+12
= (x-1)(x2-4x-12)
= (x-1)(x-6)(x+2)
5）x3-7x-6
= (x+1)(x2-x-6)
= (x+1)(x-3)(x+2)
6）x3+x2-14x-24
= (x+2)(x2-x-12)
= (x+2)(x+3)(x-4)
7）2x3-3x2-8x-3
= (x+1)(2x2-5x-3)
= (x+1)(2x+1)(x-3)
8）3x3-2x2-3x+2
= (x-1)(3x2+x-2)
= (x-1)(x+1)(3x-2)
9）6x3-x2-5x+2
= (x+1)(6x2-7x+2)
= (x+1)(2x-1)(3x-2)
10）8x3+2x2-13x+3
= (x-1)(8x2+10x-3)
= (x-1)(2x+3)(4x-1)
11）6x3+17x2+6x-8
= (x+2)(6x2+5x-4)
= (x+2)(3x+4)(2x-1)
12）2x3-7x2-3x+18
= (x-2)(2x2-3x-9)
= (x-2) (2x+3)(x-3)
＊13）18x3+9x2-47x+14
= (x+2)(18x2-27x+7)
= (x+2)(3x-1)(6x-7)
＊14）121x3+154x2+15x-18
= (x+1)(121x2+33x-18)
= (x+1)(11x-3)(11x+6)
＊15）170x3-71x2-11x+2
= (2x-1)(85x2+7x-2)
= (2x-1)(5x+1)(17x-2)
＊16）x4-10x3+35x2-50x+24
= (x-1)(x3-9x2+26x-24)
= (x-1)(x-2)(x2-7x+12)
= (x-1)(x-2)(x-3)(x-4)
