Find the unique value of $a$ for which the polynomial $x^3 - 12x^2 + ax - 64$ has all real, nonnegative roots.
Question:
Find the unique value of $a$ for which the polynomial $x^3 - 12x^2 + ax - 64$ has all real, nonnegative roots.
Answer:
Let's think step by step.

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Find the unique value of $a$ for which the polynomial $x^3 - 12x^2 + ax - 64$ has all real, nonnegative roots.
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