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$a_0+a_1x_1+...+a_n x_n+a_{n+1}x_1x_2+...+a_dx_1x_2...x_n.$  \end{Theorem}  \begin{Example}[Majority function]  \[  f(x,y,z)=xy+xz+yz  \]  It is $1$ if and only if the majority within $x$, $y$ and $z$ is $1$. That is is $0$ if and only if the majority within $x$, $y$ and $z$ is $0$.  Try it.  \end{Example}