The published inspection record for Polegate is a blank sheet. Polegate Primary School serves the town for state primary education. Alfriston School sits among the covered villages a few miles north-west. No secondary school is named inside the boundary. The honest answer is that you do the catchment homework yourself, because the paperwork will not do it for you.
A named primary in a town is not the same thing as a guaranteed place at it. State-school admissions in England work on published criteria, and distance from the school gate is normally the tie-breaker when a year group is oversubscribed. Postcodes on the far edges of Polegate may sit outside the priority zone for Polegate Primary School, and postcodes in the parishes near Alfriston may or may not fall inside Alfriston School's zone depending on how East Sussex County Council draws its admissions map that year. Any buyer with school-age children needs to check the current arrangements with the county rather than assume the nearest primary is the one their child will be offered.
Polegate Primary School is the state primary named for the town itself, and Alfriston School serves the historic village to the north-west, across the fields toward the Cuckmere valley. Both are primaries, and they serve very different intakes: Polegate Primary sits inside a post-war commuter town of about 10,000 people, while Alfriston School serves a chalk-valley village of a few hundred. For secondary education, this page carries no named school inside the boundary, which almost certainly means families in Polegate look toward Willingdon, Eastbourne, or Hailsham for the eleven-plus onwards, and the choice is a function of the specific address and which secondary's catchment reaches it. The inspection register in this brief lists no Outstanding, no Good, no Requires Improvement, and no Inadequate against any local school. That could mean the ratings have gone stale between inspections, it could mean the primaries named have not been recently graded, or it could mean the secondaries the town's families actually rely on sit outside the boundary this page covers. Whichever of those it is, the practical consequence is the same. An unrated school is not a bad school and it is not a good school. It is a school you have to research.
Average for schools at three out of five, which is a default rather than a verdict, and the honest translation is that this is a page where the buyer does the work. If schools are the reason you're moving somewhere, Polegate is a shortlist candidate, not a decision.
