Add $ \, \color{blue}{ -x^2+2 } \, $ and $ \, \color{orangered}{ 3x^2-7x+8 }$.
Answer
$$ \left( \color{blue}{-x^2+2} \right) + \left( \color{orangered}{3x^2-7x+8} \right) = 2x^2-7x+10 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -x^2 & & 2 \\ \color{blue}{ + } & 3x^2 & -7x & 8 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -x^2 & & 2 \\ \color{blue}{ + } & 3x^2 & -7x & 8 \\ \hline & 2x^2 & -7x & 10 \end{array} $$This page was created using
Polynomial Operations Calculator