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Find a cubic polynomial with integer coefficients that has $\sqrt[3]{2}+\sqrt[3]{4}$ as a root.

 

I've been working on this question for some time, but I haven't made any headway. Can somebody write a solution to this?

 Feb 20, 2021
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Find a cubic polynomial with integer coefficients that has \( \sqrt[3]{2}+\sqrt[3]{4}\) as a root.

 

Answer see: https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.1174265.html

 

The cubic polynomial is \(x^3-6x-6 = 0\)

 

laugh

 Feb 20, 2021

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