
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Find constants \(A\), \(B\), and \(C\), such that
$$\frac{x^2 + 2x - 8}{x^3 - x - 2} = \frac{A}{x+1} + \frac{Bx + C}{x^2 - x + 2}.$$
Enter your answer as the ordered triplet \((A, B, C)\).

Present the answer in LaTex format: \boxed{Your answer}
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