
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 \(p, q,\) and \(r\) be the roots of the polynomial equation 
\[x^3 - 4x^2 + 5x + 2 = 0.\]
Find the monic polynomial in \(x\) whose roots are \(3p, 3q,\) and \(3r\).

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