Exhibit 3.351

PAGE 1           

     I, JEFFREY W. BULLOCK, SECRETARY OF STATE OF THE STATE OF DELAWARE, DO HEREBY CERTIFY THE ATTACHED ARE TRUE AND CORRECT COPIES OF ALL DOCUMENTS ON FILE OF “SELECT HEALTHCARE, LLC” AS RECEIVED AND FILED IN THIS OFFICE.

     THE FOLLOWING DOCUMENTS HAVE BEEN CERTIFIED:

     CERTIFICATE OF FORMATION, FILED THE FIFTEENTH DAY OF DECEMBER, A.D. 1998, AT 9 O’CLOCK A.M.

     AND I DO HEREBY FURTHER CERTIFY THAT THE EFFECTIVE DATE OF THE AFORESAID CERTIFICATE OF FORMATION IS THE SIXTEENTH DAY OF DECEMBER, A.D. 1998.

     CERTIFICATE OF AMENDMENT, FILED THE TWENTY-SECOND DAY OF JANUARY, A.D. 2002, AT 10 O’CLOCK A.M.

     AND I DO HEREBY FURTHER CERTIFY THAT THE AFORESAID CERTIFICATES ARE THE ONLY CERTIFICATES ON RECORD OF THE AFORESAID LIMITED LIABILITY COMPANY, “SELECT HEALTHCARE, LLC”.

/s/ Jeffrey W. Bullock  

Jeffrey W. Bullock, Secretary of State 

2980097    8100H

110292458

You may verify this certificate online
at corp.delaware.gov/authver.shtml AUTHENTICATION: 8619954  

DATE: 03-14-11  

STATE OF DELAWARE

SECRETARY OF STATE

DIVISION OF CORPORATIONS

FILED 09:00 AM 12/15/1998

981485500 — 2980097

CERTIFICATE OF FORMATION
OF
SELECT HEALTHCARE, LLC

Under Section 18-201 of the
Delaware Limited Liability Company Act

          FIRST: The name of the limited liability company is Select Healthcare, LLC (the “Company”).

          SECOND: The address of the registered office of the Company in the State of Delaware is 1013 Centre Road, Wilmington, Delaware 19805.

          THIRD: The name and address of the Company’s registered agent for service of process is Corporation Service Company, 1013 Centre Road, Wilmington, Delaware 19805.

          IN WITNESS WHEREOF, the undersigned has executed this Certificate of Formation as of December 15, 1998.

By:	/s/ John M. Franck II
	Name:	John M. Franck II
	Title:	Authorized Person

STATE OF DELAWARE

SECRETARY OF STATE

DIVISION OF CORPORATIONS

FILED 10:00 AM 01/22/2002

020040727 — 2980097

CERTIFICATE OF AMENDMENT

OF

Select Healthcare, LLC

     1. The name of the limited liability company is Select Healthcare, LLC

     2. The Certificate of Formation of the limited liability company is hereby amended as follows:

The name and address of the registered agent is The Corporation Trust Company, Corporation Trust Center, 1209 Orange Street, Wilmington, Delaware 19801.

     IN WITNESS WHEREOF, the undersigned has executed this Certificate of Amendment of Select Healthcare, LLC this 15 day of January, 2002.

Select Healthcare, LLC

/s/ William F. Carpenter III  

William F. Carpenter III, 

Manager

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