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