作业帮 > 数学 > 作业

含字母的二次三项式的因式分解 1、-kx^2+(2-k)x+2 2、ax^2-(2a-1)x+2 3、ax^2+(2a-

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/19 10:26:24
含字母的二次三项式的因式分解 1、-kx^2+(2-k)x+2 2、ax^2-(2a-1)x+2 3、ax^2+(2a-1)x 4、-2ax^2+(a-2)
1、-kx^2+(2-k)x+2
2、ax^2-(2a-1)x+2
3、ax^2+(2a-1)x
4、-2ax^2+(a-2)
1、-kx^2+(2-k)x+2
=﹣[kx²+﹙k-2﹚x-2]
=﹣﹙kx-2)(x+1)
2、ax^2-(2a-1)x-2
=﹙ax+1﹚﹙x-2﹚
3、ax^2+(2a-1)x
=x﹙ax+2a-1)
4、-2ax^2+(a-2)
=﹣[2ax²-﹙a-2﹚]
=﹣[√2a+√﹙a-2﹚][√2a-√﹙a-2﹚]﹙a>2﹚
再问: 抱歉,我打错了,第二个是ax^2-(2a+1)x+2,第四个是-2ax^2+(a-2)x+1
再答: ax^2-(2a+1)x+2 =﹙ax-1﹚﹙x-2﹚ -2ax^2+(a-2)x+1 =﹣[2ax²-(a-2)x-1] =﹣﹙2x-1)(ax+1)