This is the 14850th most frequent German word.
rassistischen
"Rassistischen" means "racist" or "related to racism."
In this sentence, 'rassistischen' is used as an attributive adjective describing the noun 'Äußerungen' (remarks), indicating their nature as racist.
Die rassistischen Äußerungen wurden von der Gesellschaft verurteilt.
The racist remarks were condemned by society.
Here, 'rassistischen' again functions as an adjective, qualifying the noun 'Vorfälle' (incidents) to specify that they involved racism.
Er sprach über die rassistischen Vorfälle in der Region.
He spoke about the racist incidents in the region.
In this example, 'rassistischen' is used as an adjective modifying 'Ideologien' (ideologies), characterizing them as pertaining to racism.