
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
Let \( p(x) \) be a polynomial. We know \( p(2) = 4 \) and \( p(5) = 10 \). Find the remainder \( r(x) \) when \( p(x) \) is divided by \((x-2)(x-5)\).
A) \( 2x + 2 \)
B) \( 2x \)
C) \( x + 4 \)
D) \( x^2 + 2 \)

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