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