Most of those HP hardware diagnostics do not do an adequate job, and are not necessary if the computer is out of warranty, as referenced by RichM (you'll want to keep those intact in case you need to do an in-warranty troubleshooting with an HP tech to issue an RMA repair). They can be removed if you want, but personally I tend to keep them there. That's just me. I rarely use them, as they don't do as good a job as custom or open-sourced developed or fee-based tools. And, Win7 can have as many as 7 partitions total, Win10 can have even more. If you use Macrium Reflect to perform Image backup, you can tell the backup software to backup ALL the paritions. If you upgrade your drive to an SSD or your original HDD fails and you replace it with an identical or larger capacity drive, Macrium can put them all back for you.
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