grandes-ecoles 2019 Q10

grandes-ecoles · France · centrale-maths1__official Roots of polynomials Divisibility and minimal polynomial arguments
Show that: $X^p + \alpha_{p-1}X^{p-1} + \cdots + \alpha_0$ divides the polynomial $\chi_f$.
Show that: $X^p + \alpha_{p-1}X^{p-1} + \cdots + \alpha_0$ divides the polynomial $\chi_f$.