Question
Add $ \, \color{blue}{ -2x^2+x+31 } \, $ and $ \, \color{orangered}{ 3x^2+7x-8 }$.
Answer
$$ \left( \color{blue}{-2x^2+x+31} \right) + \left( \color{orangered}{3x^2+7x-8} \right) = x^2+8x+23 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -2x^2 & x & 31 \\ \color{blue}{ + } & 3x^2 & 7x & -8 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -2x^2 & x & 31 \\ \color{blue}{ + } & 3x^2 & 7x & -8 \\ \hline & x^2 & 8x & 23 \end{array} $$This page was created using
Polynomial Operations Calculator