I have given the following nonconstant complex polynomial $h(x)={x}^{n}+{a}_{n-1}{x}^{n-1}+\dots +{a}_{1}x+{a}_{0}$. In the lecture our Prof. told us that using the minimal principle one could find $z\in \mathbb{C}$ such that $h(z)=0$

Dale Tate
2022-06-27
Answered

I have given the following nonconstant complex polynomial $h(x)={x}^{n}+{a}_{n-1}{x}^{n-1}+\dots +{a}_{1}x+{a}_{0}$. In the lecture our Prof. told us that using the minimal principle one could find $z\in \mathbb{C}$ such that $h(z)=0$

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