Find a minimal degree polynomial \(p(x) \) with integer coefficients for which \(a = \sqrt2 + \sqrt[3]{2} \) is a root.

Suppose \(p(x) \) is a polynomial with integer coefficients, show that if \(p(a) = 1\) for some integer \(a\), then \(p(x) \) has at most two integer roots.

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TopNewestWhat have you tried? What have you found out? – Calvin Lin Staff · 6 months, 2 weeks ago

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