Maths

2010-03-14 6:17 am
What is the remainder when x^14 + 1 is divided by (x^2 + x + 5)?

回答 (2)

2010-03-14 8:13 am
✔ 最佳答案
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2010-03-14 00:13:53 補充:
http://img641.imageshack.us/img641/4113/82096142.png

2010-03-15 21:51:42 補充:
a^7 + b^7 = (a+b)(a^6-a^5b+a^4b^2-a^3b^3+a^2b^4-ab^5+b^6)
better to write R[[(x^2+x+5)-(x+5)]^7+1]=R[1-(x+5)^7]
It is alternative method to long division
if need to find remainder of x^100+1 when divided by x^2+x+2, for example, long division is not easy to be written on a piece of paper.
2010-03-14 8:17 am
nelsonywm2000真的很厲害...


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