Numerical analysis - polynomial interpolarion

View attachment 25054
Hi

Can you please help me understand why the answer is 7 here?
Can you please tell us:

  • According to your textbook/classnotes (or Google) - what is polynomial interpolation and

  • How do you determine the "maximum" error of interpolation?
Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem.

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