#19 Measure Your Calibre

Algebra Level 5

Suppose \(n \geq 0 \) is an integer such that all the roots of \(x^3 + \alpha x + 4 - (2\times 2016^n) = 0 \) (in \(x\)) are integers.

Find the value of \(\alpha\).


Other problems: Check your Calibre

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