Tea is made from leaves of the Camellia Sinensis plant, which can grow in many parts of the world
25% of the leaf dry mater is the Catechin Polyphenols. This is present in all main tea types (white, green, and black). They also contain other Polyphenols like Theaflavins, Tannins, and some Flavonoids
Catechin is the main Flavanol (not a Flavonols) present when tea is steeped in hot water
The combined Polyphenols in a 200 ml cup of tea would be from 50 to 500 mg
The Flavanols and Flavonoids give tea the astringency, bitterness, and colour we associate with traditional tea, and also the distinctive after-taste
While all these chemicals are highly water soluble chemicals, they dissolve at different rates, and cannot be entirely dissolved out on the leaf cellular structure with heat and damage to the leaf structure
Repeated steeping with continue to work, though the flavour will change with each steeping as different Polyphenols dissolve out at different rates
Some people rinse the tea leaves in warm water for minute of two, and discard this water. While you will loose large amounts of Caffeine, you do also remove some Tannins that can be quite bitter and be part of the metallic after-taste
The finer ground or crushed the tea leaf, the more Polyphenols you can extract from them, and the more steepings you will be able to achieve
Increasing the heat of each steeping will also help in releasing more Polyphenols