inhibiters are to the monomer for the polymer preparation we need to remove the inhibiters how can remove the inhibiters

Answer 1

In the case of styrene:
"..purification is performed in order to remove inhibitors and impurities, which can have a detrimental effect on the (polymerization) reaction. Styrene is purified by passing the monomer through a column of activated basic aluminum oxide and by this treatment the inhibitors and impurities are adsorbed."

That is from
http://www.polymer.lth.se/courses/pol_chem/PKEMI_LaboratoryProcedures.pdf

There may be other inhibitor-removal methods for other materials.