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Algebra

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Moderate

Set up Repeated Quadratic Factors of x

ALGEBR-LIBYMZ

Which one of the following is the correct form of the decomposition of the rational expression:

$$\frac{x - 1}{x^{2}(x^{2} + 1)}?$$

A

$\cfrac{A}{x}$ + $\cfrac{Bx + C}{x^{2}}$ + $\cfrac{Dx + E}{x^{2} + 1}$

B

$\cfrac{A}{x}$ + $\cfrac{Bx + C}{x^{2}}$ + $\cfrac{D}{x^{2} + 1}$

C

$\cfrac{A}{x^{2}}$ + $\cfrac{Bx + C}{x^{2} + 1}$

D

$\cfrac{A}{x}$ + $\cfrac{B}{x^{2}}$ + $\cfrac{C}{x^{2} + 1}$