Monday, February 26, 2001

This is for der_frawd, but you might like it as well.

Here's a good one, from Kenneth Rosen's book on Discrete Mathematics. We just covered countability a few blogs back, so you should be able to answer this one.

A number, call it x, is said to be algebraic if there exists a polynomial, call it p, with integer coefficients (for example, 5x^8 + 2x^4 + 90) such that p(x) = 0. Prove that the collection of algrbraic numbers is countable.

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