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Apollo Global Management (NYSE:APO) Inc and CVC Capital Partners are also studying the business, which could be valued at as much as $12 billion, according to the report.
Shares in DuPont rose around 1% in afternoon trading.
DuPont, once part of the erstwhile chemical giant DowDuPont has been tweaking its portfolio. It has separated its Nutrition & Biosciences business, agreed to divest two other businesses, and struck a deal to buy Laird Performance Materials for $2.3 billion in July.
The company, which makes everything from brake fluid to fabric for protective garments, is working with Goldman Sachs Group Inc (NYSE:GS) to gauge interest in the unit, the report added.
DuPont declined to comment on the report.