deletions | additions       diff --git a/section_Bytes_The_polynomials_in__.tex b/section_Bytes_The_polynomials_in__.tex  index b209215..d4e5a3c 100644  --- a/section_Bytes_The_polynomials_in__.tex  +++ b/section_Bytes_The_polynomials_in__.tex 
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If we take two polynomials $f,g $ in $ S$, then $f+g$ belongs to $S$ as well, since when we sum two polynomials, the degree cannot grow (see Exercise \ref{degree}), according to the rule in $\Fb[x]$  $$\deg(f+g)\leq \deg(f), \deg(g); \qquad \deg(f+g)<\deg(f),\deg(g) \iff \deg(f)=\deg(g). $$  However, if we multiply $f,g$, their product $fg$ can be outside $S$; for example  $$f=x^2+1,\, g=x+1 \implies (x^2+1)(x+1)=x^3+x^2+x+1\,.$$ (x^2+1)(x+1)=x^3+x^2+x+1\notin S\,.$$