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 \leq 0.11 ) .
Thus , our models can be tested at the future Planck and QUBIC experiments .