數學題 polynomial

2010-07-06 5:47 am

回答 (1)

2010-07-06 7:27 am
✔ 最佳答案

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x^2 + 2x - 2 = 0

x^2 + 2x = 2

;;

P = x^3 + x^2 + ax + 1

= x(x^2 + x + a) + 1

= x(x^2 + 2x - 2 - x + a + 2) + 1

= x( - x + a + 2) + 1

= - x^2 + (a+2)x + 1

= - (x^2 - (a+2)x) + 1

when - (a+2) = 2 , i.e. a = - 4

P = - (x^2 + 2x) + 1 = - 2 + 1 = - 1


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