急!!急求50道因式分解题

来源:百度知道 编辑:UC知道 时间:2024/06/17 03:18:12
要有答案啊!

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)
=