中四續多項式,數學,幫幫我,THANK^_^

2011-03-07 12:08 am
1]已知x^3+3x+a,可被x-2整除,且a為常數,求a的值

2]若3x=A(x-1)(x+2)+B(x-2)(x+2)+C(x+1)(x-1),求A,B和C的值

回答 (2)

2011-03-07 12:17 am
✔ 最佳答案
1 代 x = 2﹐2^3 + 3(2) + a = 0

a = -14

2 3x = A(x - 1)(x + 2) + B(x - 2)(x + 2) + C(x + 1)(x - 1)

代x = 1 => 3 = B(-1)(3) => B = -1

代x = -2 => -6 = C(-1)(-3) => C = -2

代x = 0 => 0 = -2A - 4B - C => 2A = -4B - C = 6 = > A = 3
2011-03-07 12:12 am
city u computing maths


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