KA10107028    多項式運算   

2012/08/15 19:54

1.設3(x-1)³+4(x-1)²+2=a(x-1)(x-2)(x+1)+b(x-1)(x-2)+c(x-2)+d求(a, b, c, d)=?

2.(x+2x²+3x³+....+100x¹⁰⁰)(100+99x+98x²+....+x⁹⁹)展開後x¹⁰⁰項之係數為?x⁹⁹項之係數為?

3.設f(x)為一多項式且f(-1)=3, f(0)=0, f(1)=-2 , f(2)=6,則f(x+1)的奇數項係數和為?

4.(x+1)(x+2)(x+3)(x+4)....(x+9)(x+10)之展開式中 x¹⁰項 , x⁹項. x⁸項之係數各為?

5已知各多項式P(x)=1+2x+3x²+...+10x⁹+11x¹⁰=(i+1)xⁱ  ,Q(x)=1+3x²+5x⁴
+...+11x¹⁰=(2i+1)x²ⁱ ,則P(x)和Q(x)的乘積中,x⁹的係數為?