MathDB

Bristy wants to build a special set

A

. She starts with

A=\{0, 42\}

. At any step, she can add an integer

x

to the set

A

if it is a root of a polynomial which uses the already existing integers in

A

as coefficients. She keeps doing this, adding more and more numbers to

A

. After she eventually runs out of numbers to add to

A

, how many numbers will be in

A

Problem 9