  We systematically study the renormalizable three-term polynomial inflation in
the supersymmetric and non-supersymmetric models. The supersymmetric inflaton
potentials can be realized in supergravity theory, and only have two
independent parameters. We show that the general renormalizable supergravity
model is equivalent to one kind of our supersymmetric models. We find that the
spectral index and tensor-to-scalar ratio can be consistent with the Planck and
BICEP2 results, but the running of spectral index is always out of the
$2\sigma$ range. If we do not consider the BICEP2 experiment, these
inflationary models can be highly consistent with the Planck observations and
saturate its upper bound on the tensor-to-scalar ratio ($r \le 0.11$). Thus,
our models can be tested at the future Planck and QUBIC experiments.
