Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 19x^2 & 12x & 12 \\ \color{blue}{ + } & 7x^2 & 10x & 13 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 19x^2 & 12x & 12 \\ \color{blue}{ + } & 7x^2 & 10x & 13 \\ \hline & 26x^2 & 22x & 25 \end{array} $$