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Interpolating Polynomials

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3
This problem required making logical arguments that come together to form a proof. It can be hard to put all the steps in the right place but we received great solutions from Michael from the UK, Kaan from the German Highschool, Istanbul, Turkey and Alex from England. They all used very similar ideas and Michael produced a very well written and formatted word document explaining the ideas. The full solution is in PDF format at the following link: Interpolating Polynomials Soln1.pdf 

Thanks for the fantastic ideas you sent in!
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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