
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 \( f(x) = -4x^3 + 2x^2 - 5x - 7 \), \( g(x) = 6x^2 + 4x - 9 \), and \( h(x) = -x^3 + 3x^2 + 2x + 8 \). Express \( f(x) + g(x) + h(x) \) as a single polynomial, with the terms in order by decreasing degree.

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