
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
Suppose you have a polynomial \(2x^2 - 5\). If \(x\) increases or decreases by a positive amount \(b\), what is the change in the polynomial's value?
**A)** \(2bx + b^2\)  
**B)** \(4bx \pm 2b^2\)  
**C)** \(\pm b^2 - 5\)  
**D)** \((x + b)^2 - 5\)  
**E)** \(2b^2 - 4bx\)

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