Divide people by broadcasting a spoiler (8)

I believe the answer is:

polarise

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'divide people' is the definition.
'polarise' can be an answer for 'divide' (I've seen this before). I am not sure about the 'people' bit.

'broadcasting a spoiler' is the wordplay.
'broadcasting' indicates an anagram.
'a'+'spoiler'='aspoiler'
'aspoiler' with letters rearranged gives 'POLARISE'.

'by' is the link.

Can you help me to learn more?

(Other definitions for polarise that I've seen before include "Cause to adopt extreme positions - lose pair (anag)" , "Set or become set at opposite extremes of opinion" , "divide" .)

I've seen this clue in The Irish Times.

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