Let f(x)=-x^3+3x^2-3x+1, and g(x) be f(x) divided by 1-x; solve for g(x) if 1-x is a factor of f(x).
a. g(x)=x^4-4x^3+6x^2-4x+1
b. g(x)=x^3-3x^2+3x-1
c. g(x)=-x^2+2x-1
d. g(x)=x^2-2x+1