grandes-ecoles 2025 Q3

grandes-ecoles · France · mines-ponts-maths2__mp Roots of polynomials Reciprocal and antireciprocal polynomial properties
Until the end of part A, we assume that all roots of $p$ are stable and have multiplicity 1.
Justify that there exists $\lambda \in \{-1, 1\}$ such that $p = \lambda p_0$.
Until the end of part A, we assume that all roots of $p$ are stable and have multiplicity 1.

Justify that there exists $\lambda \in \{-1, 1\}$ such that $p = \lambda p_0$.