deep, deep-rooted, deep-seated, strong | blatant | serious, unfair
(both law)

personal | old
It''s hard to break down old prejudices.

blind, irrational | anti-gay, anti-Catholic, etc. | class, cultural, political, racial, religious, sectarian, sexist

have, hold
We all have prejudices of some kind.

air, express
He sat there airing his personal prejudices.

arouse, feed, stir up | appeal to, pander to
We must not pander to the irrational prejudices of a small minority.

confirm | come up against, encounter
She had never encountered such deep prejudice before.

suffer | challenge | overcome | break down, eliminate, eradicate

~ about
a book written to challenge prejudices about disabled people

~ against
deep-rooted prejudice against homosexuals

~ among
prejudice among ignorant people

~ towards
prejudice towards immigrants

a victim of prejudice

unfairly

against, in favour of
Reading newspaper reports had unfairly prejudiced the jury in her favour.

seriously, severely, substantially

be likely to
She did not disclose evidence that was likely to prejudice her client''s case