
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
$h(x)$ is a monic polynomial such that $h(0) = 9$ and $h(2) = 25$. If $h(x)$ has degree $2$, what is $h(x)$? Express your answer in the form $ax^2 + bx + c$, where $a$, $b$, and $c$ are real numbers.

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