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The number \(x = \sqrt{2}+\sqrt[3]{3}\) is a root of a monic, sixth-degree polynomial with integer coefficients. Find this polynomial.

 

Thanks in advance.

 Jul 27, 2020
 #1
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The polynomial is x^6 - 6x^4 - 8x^3 + 14x^2 - 40x + 8.

 Jul 27, 2020
 #2
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.................................

 Jul 27, 2020
edited by Alan  Jul 27, 2020

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