Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 9x^2 & 4x & -7 \\ \color{blue}{ + } & 3x^2 & 6x & -7 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 9x^2 & 4x & -7 \\ \color{blue}{ + } & 3x^2 & 6x & -7 \\ \hline & 12x^2 & 10x & -14 \end{array} $$