
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
Factorize the polynomial $x^4 + 16$.
**A)** \( (x^2 + 4)^2 \)  
**B)** \( (x^2 + 2x + 4)(x^2 - 2x + 4) \)  
**C)** \( (x^2 + 2x + 2)(x^2 - 2x + 2) \)  
**D)** \( (x^2 + 3x + 4)(x^2 - 3x + 4) \)  
**E)** \( (x^2 + 4x + 4)(x^2 - 4x + 4) \)

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