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Which of the following is the correct form of the partial fraction decomposition of $\displaystyle{\frac{x-1}{x^3+x^2}}$ ? You may select more than one answer.

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

B. $\displaystyle \frac{Ax+B}{x}+\frac{Cx+D}{x^2}+\frac{E}{x+1}$

C. $\displaystyle \frac{Ax+B}{x}+\frac{Cx+D}{x^2}+\frac{Ex+F}{x+1}$

D. $\displaystyle \frac{Ax+B}{x}+\frac{Cx+D}{x^2}+\frac{Ex+F}{x+1}$