
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 the sum of two numbers is 8, and the product of the same two numbers is 16, find the quadratic polynomial for which these numbers are roots.
A) \(x^2 - 8x + 15\)
B) \(x^2 - 8x + 16\)
C) \(x^2 - 7x + 16\)
D) \(x^2 - 7x + 15\)

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