因式分解：
x^70 - 1
數學問題集(51)---因式分解 level 2
2010-09-29 3:08 am
回答 (3)
2010-10-02 6:51 am
✔ 最佳答案
x ^ 70 - 1= ( x ^ 35 + 1 ) ( x ^ 35 - 1 )
= [ ( x ^ 7 ) ^ 5 + 1 ] [ ( x ^ 7 ) ^ 5 - 1 ]
= ( x ^ 7 + 1 ) ( x ^ 28 - x ^ 21 + x ^ 14 - x ^ 7 + 1 ) ( x ^ 7 - 1 ) ( x ^ 28 + x ^ 21 + x ^ 14 + x ^ 7 + 1 )
= ( x + 1 ) ( x ^ 6 - x ^ 5 + x ^ 4 - x ^ 3 + x ^ 2 - x + 1 ) ( x ^ 28 - x ^ 21 + x ^ 14 - x ^ 7 + 1 ) ( x - 1 ) ( x ^ 6 - x ^ 5 + x ^ 4 - x ^ 3 + x ^ 2 - x + 1 ) ( x ^ 28 + x ^ 21 + x ^ 14 + x ^ 7 + 1 )
參考: Hope I Can Help You^_^
2010-09-29 10:10 am
70=1*2*5*7基本消費
(x-1),(x^2-1),(x^5-1),(x^7-1)
(x-1),(x^2-1),(x^5-1),(x^7-1)
2010-09-29 4:25 am
(x^35-1)(x^35+1)
2010-09-29 18:05:03 補充：
基本消費??
What is this?
2010-09-29 18:05:03 補充：
基本消費??
What is this?
收錄日期: 2021-04-13 17:32:34
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100928000051KK00948