標題:

how to simply x^3 + x + 2 ?

發問:

how to simply x^3 + x + 2 ? plz give steps and answer thx~

最佳解答:

As x3 + x + 2 is the simpliest form, I guess that you are asking about how to factorize x3 + x + 2. Let f(x) = x3 + x + 2. f(-1) = (-1)3 + (-1) + 2 = -1 - 1 + 2 = 0 By factor theorem, x + 1 is a factor of f(x). f(x) = x3 + x + 2 = x3 + x2 - x2 - x + 2x + 2 = x2(x - 1) - x(x + 1) + 2(x + 1) = (x - 1)(x2 - x + 2) 2007-03-10 18:57:13 補充: stephentavington, 你的long division做錯了.發問者請注意, 發問者自選是對答題者的尊重, 沒有尊重, 就沒有人會再在這裡答題.

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