Low-energy quantum calculations are carried out for electrons scattering by CF4 molecules in their ground electronic stales. The corresponding elastic cross sections (rotationally summed) are obtained as integral quantities and as angular distributions, i.e., differential cross sections (DCS), over a range of collision energies from approximate to 3 eV up to 35 eV. The exact static exchange (ESE) results compare well with experiments and with previous calculations. The inclusion of a model polarization potential is shown to generally improve results, especially at low collision energies and in the small-angle scattering region.