Minogue was in negotiations to reprise her role on the show after last year's panellist Kelly Rowland ruled herself out.
The Australian entertained the idea of a return despite disclosures that she and show boss Simon Cowell had an affair. But discussions have now foundered.
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Monday night's weather for the east of the region
Monday night's weather for the west of the region
Three drug dealers have been sentenced to a total of 23 years after admitting they were key players in a multi-million pound drugs ring.