grandes-ecoles 2022 Q13

grandes-ecoles · France · mines-ponts-maths2__psi Roots of polynomials Coefficient and structural properties of special polynomial families

Let $P$ be an irreducible Hurwitz polynomial in $\mathbf{R}[X]$ with positive leading coefficient. Prove that all coefficients of $P$ are strictly positive.

Let $P$ be an irreducible Hurwitz polynomial in $\mathbf{R}[X]$ with positive leading coefficient. Prove that all coefficients of $P$ are strictly positive.

Paper Questions

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