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Root to Poly

Stage: 4 Challenge Level: Challenge Level:1
Find the polynomial $p(x)$ with integer coefficients such that one solution of the equation $p(x)=0$ is $1+\sqrt{2}+\sqrt{3}$.
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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