# Daniel's polynomial

Algebra Level 2

Suppose $$f$$ is a polynomial of degree 7 which satisfies $$f(1)=2$$, $$f(2)=5$$, $$f(3)=10$$, $$f(4)=17$$, $$f(5)=26$$, $$f(6)=37$$, $$f(7)=50.$$ What is the value of $$f(0)+f(8)$$?

This problem is shared by Daniel L.

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