Аннотация:The formation of a complex between the long polymer chain and several spheric particles having the surface adsorptional attractive layers is described in the framework of the scaling theory. If the particles positions in the space are fixed the polymer chain in the complex is shown to be essentially elongated. Its adsorption on the many particles results in its unfolded conformation having dimensions essentially exceeding those of the free chain. Complex formation (adsorption) proceeds as the first-kind phase transition. On the contrary the complex formation with the mobile particles is not accompanied by the additional chain stretching and its size doesn't essentially change after introducing into a complex. In this case the complex formation is also the first-kind phase transition, but is close to the second-kind one, as an approximation to the point of this transition is accompanied by essential swelling of adsorptional layers in a complex.