grandes-ecoles 2022 Q11

grandes-ecoles · France · mines-ponts-maths2__psi Roots of polynomials Location and bounds on roots

Let $\alpha \in \mathbf{R}$. Prove that if $\alpha$ is a root of a polynomial $P$ in $\mathbf{R}[X]$ with strictly positive coefficients, then $\alpha < 0$.

Let $\alpha \in \mathbf{R}$. Prove that if $\alpha$ is a root of a polynomial $P$ in $\mathbf{R}[X]$ with strictly positive coefficients, then $\alpha < 0$.

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