Question
Add $ \, \color{blue}{ 6x^2+2x-2 } \, $ and $ \, \color{orangered}{ -7x^2+4x+13 }$.
Answer
$$ \left( \color{blue}{6x^2+2x-2} \right) + \left( \color{orangered}{-7x^2+4x+13} \right) = -x^2+6x+11 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 6x^2 & 2x & -2 \\ \color{blue}{ + } & -7x^2 & 4x & 13 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 6x^2 & 2x & -2 \\ \color{blue}{ + } & -7x^2 & 4x & 13 \\ \hline & -x^2 & 6x & 11 \end{array} $$This page was created using
Polynomial Operations Calculator