Suppose is the Lagrange interpolator for the knots with for. If is a polynomial of degree satisfying, for. What can be said of?

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Suppose<br><img src='https://www.fatskills.com/images2/GradExams/30087543-92D4-4DB4-A701-3415AD001C06.png' height='14' width='14'/> is the Lagrange interpolator for the knots<br><img src='https://www.fatskills.com/images2/GradExams/807CCA08-09F5-4C6A-A822-B13E6B05749B.png' height='20' width='233'/> with<br><img src='https://www.fatskills.com/images2/GradExams/F5C9D3B1-0B38-44A2-BFDD-0BD16D44FCA2.png' height='21' width='60'/> for<br><img src='https://www.fatskills.com/images2/GradExams/60E21A71-8621-47C9-AF92-63773FDF86DD.png' height='20' width='41'/>. If<br><img src='https://www.fatskills.com/images2/GradExams/940AA74E-55F7-4586-AD45-CA313797F28F.png' height='18' width='14'/> is a polynomial of degree<br><img src='https://www.fatskills.com/images2/GradExams/88AECD67-5005-48E3-8FDA-0EAF6816A356.png' height='10' width='11'/> satisfying<br><img src='https://www.fatskills.com/images2/GradExams/23E54DCD-CFEE-4F6F-B924-201E0BFC3453.png' height='21' width='90'/>, for<br><img src='https://www.fatskills.com/images2/GradExams/C45234D7-8505-4164-B9C3-BEC2A35B1BB9.png' height='18' width='119'/>. What can be said of<br><img src='https://www.fatskills.com/images2/GradExams/940AA74E-55F7-4586-AD45-CA313797F28F.png' height='18' width='14'/>?