Mathematics, 16.03.2020 18:56 winterblanco

Find a polynomial (x) with integer coefficients, and integers c and such that c+√2 3 is a root of (x), but c − √2 3 is not a root of (x), where √2 3 denotes the cube root of 2. Describe conditions on c, , and (x) for this to hold.

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Find a polynomial (x) with integer coefficients, and integers c and such that c+√2 3 is a root of (...