分组分解法与完全因式分解
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0:00 - 0:04在这个视频里,我希望可以涉及到更多的
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0:04 - 0:05因式分解多项式的技巧。
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0:05 - 0:09特别的,我希望关注于
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0:09 - 0:11最高次项系数不是1的二次式。
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0:11 - 0:16举例来说,如果我想因式分解4x^2
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0:16 - 0:21+25x-21.
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0:21 - 0:23我们至今因式分解过的式子中
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0:23 - 0:27在这个4的位置上的数字
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0:27 - 0:28都是1或者-1.
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0:28 - 0:31突然一下子,这里就变成了4.
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0:31 - 0:33所以我要教你的是,
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0:33 - 0:35分组分解法。
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0:35 - 0:37这会比我们之前学习的难一些
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0:37 - 0:40但是其实也很简单。
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0:40 - 0:42某些程度上在你学过二次式公式之后
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0:42 - 0:45你就会觉得熟悉或者简单了,
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0:45 - 0:46因为二次式公式会更简单。
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0:46 - 0:48这就是大概的样子。
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0:48 - 0:49我会向你展示操作方法。
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0:49 - 0:51在这个视频的最后,我会向你展示
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0:51 - 0:52它是什么原理。
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0:52 - 0:55所以我们需要去做的是,我们需要想两个数,
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0:55 - 1:02a和b,a*b等于
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1:02 - 1:044*-21.
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1:04 - 1:13所以a乘b等于4乘-21,
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1:13 - 1:15就等于-84.
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1:15 - 1:20然后这两个数a+b
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1:20 - 1:24等于25.
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1:24 - 1:26让我解释一下。
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1:26 - 1:29这是25,所以它们需要等于25.
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1:29 - 1:31这是4.
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1:31 - 1:36所以4乘以-21.
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1:36 - 1:37这是-21.
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- Title:
- 分组分解法与完全因式分解
- Description:
-
- Video Language:
- English
- Team:
Khan Academy
- Duration:
- 13:57
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YIFAN DING edited Chinese, Simplified subtitles for Factor by Grouping and Factoring Completely | |
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YIFAN DING edited Chinese, Simplified subtitles for Factor by Grouping and Factoring Completely | |
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YIFAN DING edited Chinese, Simplified subtitles for Factor by Grouping and Factoring Completely | |
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YIFAN DING edited Chinese, Simplified subtitles for Factor by Grouping and Factoring Completely | |
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YIFAN DING edited Chinese, Simplified subtitles for Factor by Grouping and Factoring Completely |