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9. Prove that if w is an nth root of unity, then is also an nth root of unity. (Recall: The nth roots of unity are the nth roots of 1.) (4 marks]

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Reid Wolff
Reid WolffLv2
9 Jun 2018
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5. (a) The negation of A B is AV-B). (b) The polynomial r3 - 3x² + x + 2 has a rational root. (c) 75 is a valid n in the RSA encryption scheme. (d) If f(z) is a polynomial with complex coefficients and z = i is a root of f(z), then z =-i must also be a root of f(z). (e) A B is logically equivalent to (-B) = (-A). (f) 1 + i is an eighth root of unity.

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