Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 9x^2 & 5x & 8 \\ \color{blue}{ + } & & 9x & -7 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 9x^2 & 5x & 8 \\ \color{blue}{ + } & & 9x & -7 \\ \hline & 9x^2 & 14x & 1 \end{array} $$