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MATH / Find the unique value of a for which the polynomial x³−12x²+ax−64 has all real, nonnegative roots.

Problem

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problem

Find the unique value of aa for which the polynomial x3−12x2+ax−64x^3 - 12x^2 + ax - 64 has all real, nonnegative roots.
Plain-text mathematical notation (without MathML)
Find the unique value of a for which the polynomial x³−12x²+ax−64 has all real, nonnegative roots.
Original LaTeX notation
Find the unique value of $a$ for which the polynomial $x^3 - 12x^2 + ax - 64$ has all real, nonnegative roots.

level

Level 4

type

Intermediate Algebra

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Source and history

Official source

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