Factorize the following.
6x^2+5x-6
Factorization
2012-07-20 4:53 am
回答 (3)
2012-07-20 5:03 am
✔ 最佳答案
6x^2+5x-6=6x^2+9x-4x-6
=(6x^2+9x)-(4x+6)
=3x(2x+3)-2(2x+3)
=(3x-2)(2x+3)
參考: By me
2012-07-22 8:28 am
Ｍｅｔｈｏｄ １ (cross method)
3x ＼／ - 2
2x ／＼ 3
-------------------------------------------------------
9x(3x times 3)-4x(2x times -2) = +5x
Therefore, the solution is (3x-2)(2x+3)
--------------------------------------------------------
2012-07-22 00:30:18 補充：
Method 2
6x^2+5x-6
=6x^2+9x-4x-6
=(6x^2+9x)-(4x+6)
=3x(2x+3)-2(2x+3)
=(3x-2)(2x+3)
------------------------------------
Although I've also teach you method 2, but method 1 is recommend. But if haven't learned cross-method, than use method 2
3x ＼／ - 2
2x ／＼ 3
-------------------------------------------------------
9x(3x times 3)-4x(2x times -2) = +5x
Therefore, the solution is (3x-2)(2x+3)
--------------------------------------------------------
2012-07-22 00:30:18 補充：
Method 2
6x^2+5x-6
=6x^2+9x-4x-6
=(6x^2+9x)-(4x+6)
=3x(2x+3)-2(2x+3)
=(3x-2)(2x+3)
------------------------------------
Although I've also teach you method 2, but method 1 is recommend. But if haven't learned cross-method, than use method 2
參考: mine
2012-07-20 5:01 am
6x² + 5x - 6 = (2x - 3)(3x + 2)
收錄日期: 2021-04-13 18:50:16
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20120719000051KK00703