Form of the Repeated Factors for a Partial Fraction

Algebra

When the following expression is expressed as a sum of partial fractions, what form will it take? $\frac{x^3-x+1}{x^4-x^3}$

\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x^2-x}

\frac{A}{x^3}+\frac{B}{x+1}

\frac{A}{x}+\frac{B}{x}+\frac{C}{x}+\frac{D}{x-1}

\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x^3}+\frac{D}{x+1}

\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x-1}

\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x+1}

\frac{A}{x^3}+\frac{B}{x^2}+\frac{C}{x}

\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x^3}+\frac{D}{x-1}