(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A complex number z is said to be algebraic if there are integers

a0; a1...; an not all zero such that z is a root of the polynomial,

Prove that the set of all algebraic numbers is countable.

2. Relevant equations

3. The attempt at a solution

For every natural number N there are only finitely many such polynomials

But how to prove the set is countable

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# Homework Help: Countable, uncountable sets

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