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Complex Roots Magnitude (Posted on 2021-02-25) Difficulty: 3 of 5
Let f(z) be the degree n polynomial z^n + 2*z^(n-1) + 3*z^(n-2) + ... + (n-1)*z^2 + n*z + n+1.

Prove all n roots of f(z) have a magnitude greater than 1; i.e. if f(z)=0 then |z|>1.

See The Solution Submitted by Brian Smith    
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