Subjects

📘 algebra, complex numbers, number theory, modular arithmetic, group theory

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Multiple Problems 1728C1
1. (ii) Find an upper limit to the roots of $$x^7 + 2x^5 + 4x^4 - 8x^2 - 32 = 0$$ using both theorems. - Theorem 1 (Cauchy's bound): The upper bound for roots is $$1 + \max\left|\f