\documentclass[a4paper]{article}
\usepackage{tkz-tab}
\usepackage{xpatch}
% tkz-tab hardcodes $0$ for the zeros
\xpatchcmd{\tkzTabLine}{$0$}{$\bullet$}{}{}
% we want solid lines
\tikzset{t style/.style={style=solid}}
\begin{document}
\begin{tikzpicture}
\tkzTabInit[lgt=2,espcl=2,deltacl=0]
{ /.8, $3(x-2)^2$ /.8, $x+3$ /.8, $p(x)$ /.8}
{,$-3$,$2$,} % four main references
\tkzTabLine {,+,t,+,z,+,} % seven denotations
\tkzTabLine {,-,z,+,t,+,}
\tkzTabLine {,-,z,+,z,+,}
\end{tikzpicture}
\end{document}