Unfortunately, even if we stopped using PFAS entirely it will remain a legacy problem in wastewater and landfills because so many consumer products contain PFAS. That said, some places are working towards banning PFAS in new products and some of the really nasty ones are already banned in many countries. Here is Canada’s plan to phase PFAS out of industrial and consumer goods:

https://www.canada.ca/en/health-canada/services/chemicals-product-safety/per-polyfluoroalkyl-substances.html#a3

For simplicity, this process is called clarification.

Unfortunately, coagulants are not effective at removing PFAS. The only effective methods for PFAS removal are adsorption (using granular activated carbon or ion exchange resins) or reverse osmosis filtration. These approaches are not used in traditional wastewater treatment because they are very expensive and are not required to meet registrations. However, potable reuse facilities will use these approaches to further treat wastewater effluent to drinking water standards. This is the future of water supply for arid areas like the southwest USA.

Also PS, the most commonly used coagulants are aluminum sulphate (alum) and ferric sulphate, which are not polymers. Polymers definitely are used (especially where I live) but they are more expensive and thus avoided when not needed.

As stated in the article, this isn’t a big problem for communities with centralized water treatment systems, rather for individual homes drinking well water which is contaminated by agriculture.

In a municipal treatment plant you have a few options for removing nitrates including reverse osmosis (membrane filters with very small pores, allowing them to reject very small molecules), ion exchange (swap nitrate with another, less harmful ion), or biological treatment (use microorganisms to turn nitrate into nitrogen gas).

In your home, reverse osmosis is really the only feasible option, which can be expensive to install and costly to maintain. Ideally, some sort of tax on fertilizer would be used to pay for these in house treatments, but that would increase the cost of food.