EDB — 0CD

Exercises

1. [0CD]Given \(p(x)=a_ 0+a_ 1x+\cdots + a_ n x^ n\), \(p∈ℚ[z]\) such that \(p(𝛼)=0\), given \(b∈ℚ\) build a \(q∈ℚ[z]\) such that \(q(b+𝛼)=0\).

   So if \(𝛼\) is algebraic then \(b+𝛼\) is algebraic.