Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & & 9x & -5 \\ \color{blue}{ + } & 7x^2 & 9x & 2 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & & 9x & -5 \\ \color{blue}{ + } & 7x^2 & 9x & 2 \\ \hline & 7x^2 & 18x & -3 \end{array} $$