HP not recognizing my ink cartridge serial number

[California17]

My warranty for my 3 pack of ink cartridges is up at the end of this month according to the product's box. I purchased it brand new and just opened it for the first time to replace the yellow cartridge, however my HP OfficeJet Pro 8600 Plus is telling me that there is an issue with the new yellow cartridge whenever I try to print something.

The HP support page does not recognize my product's serial number (951XL ink cartridge 3-pack Cyan/Magenta/Yellow). I'm trying to claim the warranty before it expires in March, so prompt assistance would be appreciated.

[Bob_Headrick]

The cartridges do have a warranty, see the document here for information. To get warranty coverage you will need to go to the Contact HP page, then enter the information for your printer.  At this point it will likely say "Manufacturer's warranty has expired"  To the right of this it will say "See details".  Click the "See details" link, which will open another page with more details.  Near the bottom of the text will be a paragraph that says 

HP has checked your product information, including the product and serial numbers, to determine your warranty results.The legal warranty expiration date is based on the date of purchase, as indicated on your receipt. If you feel these results are incorrect, you may submit a dispute for review. Dispute this > 

Click on the "Dispute this" link which will ask for some additional contact information.  Fill out the contact information, then in the bottom section select: 

Dispute reason  

  Issue with my Accessories, Supplies and/or Software. 

In the comment section indicate that you have a defective supply that is in warranty