Question

多项式除法,（x^4-1/2x^3-1/2)÷（1-x）

Answer 1

-(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-1/2