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\begin{Exercise}\label{RaisingTo2}  Check that in general raising a polynomial in $\Fb$ to the power $2$ is the same as raising to the power $2$ its monomials and summing them.   \end{Exercise}  What does it happen if we raise a polynomial over $\RR $ to the power $2$?\\ %  The property shown in exercise \ref{RaisingTo2} is not in common with shared by  the analogous operation for polynomials over $\RR$. real polynomials.  Indeed, if we consider $q(x)=x+1\in \RR[x]$, we have - as it  is well-known sincemiddle  school - $q(x)^2=(x+1)^2=x^2+2x+1$, that is, in general, which is  different from $x^2+1$.  \begin{Example}  When we learn at school how to rise the binomial $x+1$ to a certain power $\alpha$, we learn the construction of