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Question 1 of 5Find the partial fraction decomposition of each:
$$\frac{-12x - 18}{x^2 + 3x - 10}$$
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A
$$\frac{5}{x + 5}+ \frac{2}{x - 2}$$
B
$$\frac{-6}{x + 5}- \frac{6}{x - 2}$$
C
$$\frac{3}{x + 5}+ \frac{2}{x - 2}$$
D
$$\frac{-5}{x + 5}- \frac{1}{x - 2}$$
E
$$\frac{-6}{5(x + 5)}+ \frac{3}{7(x - 2)}$$
Question 2 of 5Find the partial fraction decomposition of each:
$$\frac{-3x - 31}{x^2 + 2x - 15}$$
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A
$$\frac{-1}{x - 3}- \frac{6}{x + 5}$$
B
$$\frac{-1}{x - 3}- \frac{1}{x + 5}$$
C
$$\frac{3}{x - 3}- \frac{7}{x + 5}$$
D
$$\frac{-5}{x - 3}+ \frac{2}{x + 5}$$
E
$$\frac{-1}{2(x - 3)}- \frac{1}{4(x + 5)}$$
Question 3 of 5Find the partial fraction decomposition of each:
$$\frac{x^2 + 4x - 4}{x^2 + 4x}$$
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A
$$1 - \frac{3}{x}+ \frac{7}{x + 4}$$
B
$$1 - \frac{1}{x}+ \frac{2}{x + 4}$$
C
$$1 - \frac{4}{x}+ \frac{6}{x + 4}$$
D
$$1 + \frac{5}{x}- \frac{4}{x + 4}$$
E
$$1 - \frac{1}{x}+ \frac{1}{x + 4}$$
Question 4 of 5Find the partial fraction decomposition of each:
$$\frac{-15x + 10}{9x^2 - 6x + 1}$$
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A
$$\frac{-2}{3x - 1}- \frac{4}{(3x - 1)^2}$$
B
$$\frac{2}{3x - 1}- \frac{3}{(3x - 1)^2}$$
C
$$\frac{-5}{3x - 1}+ \frac{5}{(3x - 1)^2}$$
D
$$\frac{-7}{3x - 1}+ \frac{4}{(3x - 1)^2}$$
E
$$\frac{-8}{3x - 1}+ \frac{6}{(3x - 1)^2}$$
Question 5 of 5Find the partial fraction decomposition of each:
$$\frac{-x^2 - 30x - 13}{x^3 - x^2 - 5x - 3}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{-7}{x - 3}+ \frac{6}{x + 1}- \frac{4}{(x + 1)^2}$$
B
$$\frac{-4}{x - 3}+ \frac{6}{x + 1}- \frac{4}{(x + 1)^2}$$
C
$$\frac{-3}{x - 3}+ \frac{5}{x + 1}- \frac{2}{(x + 1)^2}$$
D
$$\frac{-3}{x - 3}+ \frac{7}{x + 1}+ \frac{5}{(x + 1)^2}$$
E
$$\frac{8}{x - 3}+ \frac{3}{x + 1}+ \frac{2}{(x + 1)^2}$$

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