Exercises
[0CC]Given \(p(x)=a_ 0+a_ 1x+\cdots + a_ n x^ n\), \(pββ[z]\) such that \(p(πΌ)=0\), given \(bββ\) build a \(qββ[z]\) such that \(q(bπΌ)=0\).
So if \(πΌ\) is algebraic then \(bπΌ\) is algebraic.
[0CC]Given \(p(x)=a_ 0+a_ 1x+\cdots + a_ n x^ n\), \(pββ[z]\) such that \(p(πΌ)=0\), given \(bββ\) build a \(qββ[z]\) such that \(q(bπΌ)=0\).
So if \(πΌ\) is algebraic then \(bπΌ\) is algebraic.