Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -7x^2 & & 9 \\ \color{blue}{ + } & 9x^2 & 5x & 10 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -7x^2 & & 9 \\ \color{blue}{ + } & 9x^2 & 5x & 10 \\ \hline & 2x^2 & 5x & 19 \end{array} $$