
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
Given that \( f(x) = x^2 + ax + b \) is the common factor of \( x^3 + 4x^2 + 5x + 6 \) and \( 2x^3 + 7x^2 + 9x + 10 \), find the value of \( Q \) if \( f(P) = Q \).

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