Stage: 4 Challenge Level: 
Find the polynomial $p(x)$ with integer coefficients such that one
solution of the equation $p(x)=0$ is $1+\sqrt{2}+\sqrt{3}$.
Powers & roots. Generalising. Manipulating algebraic expressions/formulae. Stage 5 - Core Mapping. Stage 5 - Reviewed 2012. Other equations. Polynomials. Mathematical reasoning & proof. Factorisation (algebraic). Surds.
Published July 2001.
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