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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Tuesday morning's forecast for the east of the region
Tuesday morning's forecast for the west of the region
New criminal sanctions for those who fail to protect children from sexual exploitation are at the heart of new measures to be introduced.