Saturday, 22 April 2017

abstract algebra - Find a polynomial with roots from another

I apologize if the title is not complete enough.



Let f(x)=x37x3 and g(x)=x34x5 be polynomials with complex coefficients.



I need to find a polynomial of degree 3 with roots g(x1), g(x2), and g(x3), where x1, x2 and x3 are roots of f. The coefficient in front of x3 must be 1.




I can't find roots of f. Any suggestions?

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