多项式除法,（x^4-1/2x^3-1/2)÷（1-x）
问题描述：
多项式除法,
（x^4-1/2x^3-1/2)÷（1-x）
答
[（x^4-x^3)+(1/2x^3-1/2)]÷（1-x）
=[x^3(x-1)-1/2(1-x^3)]÷（1-x）
=[x^3(x-1)-1/2(1-x)(1+x+x^2)]÷（1-x）
=-x^3-1/2-1/2x-1/2x^2
=-x^3-1/2x^2-1/2x-1/2
答
结果 -x^3-(x^2+1）（x+1）
答
-(x^4-1/2x^3-1/2)÷(x-1)=-(x^4-x^3+1/2x^3-1/2x^2+1/2x^2-1/2x+1/2x-1/2)÷(x-1)=-[(x^4-x^3)÷(x-1)+(1/2x^3-1/2x^2)÷(x-1)+(1/2x^2-1/2x)÷(x-1)+(1/2x-1/2)÷(x-1)]=-(x^3+1/2x^2+1/2x+1/2)=-x^3-1/2x^2-1/2x-...