# #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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