如果x^4-5x^3+ax^2+bx+c能被(x+1)눀整除,试求(a-b+c)^-2的值

求解
2025-02-27 04:31:49
推荐回答(1个)
回答1:

(x+1)^2 * (a^2 - 7 x + a+13) = x^4 - 5x^3 + ax^2 + 2(a+13)x + a+13
b = 2a + 19
c = a + 13

a - b + c = a - 2a - 19 + a + 13 = -6

(a - b + c)^-2 = 1/36