推 jacky7987 :f(x)=(x-1)^2(x-2)^2q_1(x)+(x-1)^2q_2(x)+ax+b 08/03 01:32
推 suhorng :提供個爛招...假設 f(x) 除以 (x-1)^2 於是 p(x) 08/03 11:04
→ suhorng :f(x)除以(x-2)^2餘式q(x) 那f(x)除以 (x-1)^2(x-2)^2 08/03 11:05
→ suhorng :餘式等於 p(x)(2x-1)(x-2)^2+q(x)(-2x+5)(x-1)^2 除 08/03 11:06
→ suhorng :以 (x-1)^2(x-2)^2 的餘式. 這樣做的理由是 08/03 11:06
→ suhorng :(2x-1)(x-2)^2 + (-2x+5)(x-1)^2 = 1 08/03 11:07