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Let p(x) be a monic polynomial of degree 6 such that p(1) = 1, p(2) = 2, p(3) = 3, p(4) = 4, p(5) = 25, and p(6) = 6. Find p(7).

 Jul 12, 2022
 #1
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I typed the question wrong.. it's actually 

Let p(x) be a monic polynomial of degree 6 such that p(1) = 1, p(2) = 2, p(3) = 3, p(4) = 4, p(5) = 5, and p(6) = 6. Find p(7).

 Jul 12, 2022
 #2
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By Lagrange Interpolation, p(7) = 548.

 Jul 12, 2022

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