[en] The universal theory and calculational results of the electrons Bremsstrahlung radiation on the complex atoms with an account of the core dynamic polarization within the energy range of 0.5 up to 10 keV, characteristic for the energy radiative losses in the hot plasma with heavy ions are presented. The above consideration is based on the atom statistic model in the quasiclassical approximation for the incident electron. The model accounts for the incident electron penetration into the atom shell, producing an essential effect on the relation of the polarization and static radiation channels. The polarization channel contribution both to the electrons spectral and total radiative losses by different radiation frequencies, nucleus charges and incident particle energies is traced. It is shown that the polarization channel contribution proves to be comparable with the previously calculated contribution of the static channel within the wide range of parameters. The model results are in a reasonable quantitative agreement with the detailed quantum-mechanical calculations, accomplished for separate atoms