Factorize
x^7 - x^4 - x^2 - x - 1
Factorization
2012-10-23 7:59 pm
回答 (2)
2012-10-23 9:33 pm
✔ 最佳答案
= x⁷ - x⁴ - x² - x – 1= x⁴(x³ - 1) – (x² + x + 1)= x⁴(x – 1)(x² + x + 1) - (x² + x + 1)= (x² + x + 1)(x⁵ - x⁴ - 1)= (x² + x + 1)[x⁵ - x⁴ + x³ - (x³ + 1)]= (x² + x + 1)[x³(x² - x + 1) – (x + 1)(x² - x + 1)]= (x² + x + 1) (x² - x + 1)(x³ – x –1) I HOPE THIS CAN HELP YOU! ~ ^_^2012-10-25 20:53:32 補充：
I can't, sorry.
參考: My Maths World
2012-10-24 3:40 am
x^11 + x^7 - 1
= (x^2 - x + 1) (x^9 + x^8 - x^6 + x^4 + x^3 - x - 1)
用wolfram爆的OA O(?)
= (x^2 - x + 1) (x^9 + x^8 - x^6 + x^4 + x^3 - x - 1)
用wolfram爆的OA O(?)
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