標題: [其他] Factorization Problem (1) [打印本頁]

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作者: justsimple    時間: 2014-11-1 12:18 AM     標題: Factorization Problem (1)

小弟一路會出一Ｄ比較具挑戰性的題目上嚟，
大家不妨參考下。

Today's problem 1:

Find four ways to factorize the polymonial:
x^3 - 3x^2 + 4

Today's problem 2:
Factorize x^4 + 1

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作者: firoazen    時間: 2014-11-1 12:26 AM     標題: 回覆 1# justsimple 的帖子

I think it's better to make your problem 2 into Factorize x^4 + x^2 + 1

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作者: 方溫仔    時間: 2014-11-1 09:52 AM

I think     X^4 + 1  cannot be factorized.   No factors.

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作者: doris2000    時間: 2014-11-1 10:33 AM

I made answer for question 2 but i don't think it is correct.

X[X+1/X(1/3)][X^2-1/X(4/3)+1/X(2/3)]

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作者: doris2000    時間: 2014-11-1 10:42 AM

  is it correct?

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作者: justsimple    時間: 2014-11-1 08:25 PM

Tips: Question 2 involves surds (root of 2)

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