已知4X^2-3X+1=a(x-1)+b(x-1)+c对任意X值成立,求4a+2b+c的值谢谢了,_数学解答

已知4X^2-3X+1=a(x-1)+b(x-1)+c对任意X值成立,求4a+2b+c的值谢谢了,

人气：251 ℃　时间：2020-05-31 20:30:47

解答

左边：4x^2-3x+1 右边：ax^2 - 2ax + a + bx - b + c =ax^2 - (2a - b)x + (2 - b + c) 左右两边同样的次数系数应该一样,也就有 4 = a -3 = -(2a - b) 1 = a - b + c a = 4 b = 5 c = 2 4a+2b+2 = 28...