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