
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

When the polynomial \(2x^3 - 5x^2 + 7x - 8\) is multiplied by the polynomial \(ax^2 + bx + 11\), the resulting product is a polynomial that does not contain \(x^4\) or \(x^3\) terms. Find the coefficients \(a\) and \(b\) and determine the polynomial that resulted from the multiplication.

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