Add $ \, \color{blue}{ 5x^2+3x-8 } \, $ and $ \, \color{orangered}{ 2x^2+9x-7 }$.
Answer
$$ \left( \color{blue}{5x^2+3x-8} \right) + \left( \color{orangered}{2x^2+9x-7} \right) = 7x^2+12x-15 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 5x^2 & 3x & -8 \\ \color{blue}{ + } & 2x^2 & 9x & -7 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 5x^2 & 3x & -8 \\ \color{blue}{ + } & 2x^2 & 9x & -7 \\ \hline & 7x^2 & 12x & -15 \end{array} $$This page was created using
Polynomial Operations Calculator