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Polynomials and coefficients

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

  2. 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.

Note by Lupa Green
1 year, 6 months ago

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What have you tried? What have you found out? Calvin Lin Staff · 1 year, 6 months ago

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