Let i be a root of the equation x²+1=0 and let ω be a root of the equation x²+x+1=0. Construct a polynomial f(x)=a₀+a₁x+...+a_nxⁿ where a₀,a₁,...,a_n are all integers such that f(i+ω)=0.

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Posted by patrick rall on 2021-12-28 06:53:06