
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
The graph of the rational function $\frac{p(x)}{q(x)}$ is shown, with a horizontal asymptote of $y = 0$ and a vertical asymptote of $x = 2$. If $q(x)$ is quadratic, $p(3) = 2$, and $q(3) = 6$, find $p(x) + q(x)$.

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