Question
Add $ \, \color{blue}{ 5x^2-9x-10 } \, $ and $ \, \color{orangered}{ -6x^2+6x }$.
Answer
$$ \left( \color{blue}{5x^2-9x-10} \right) + \left( \color{orangered}{-6x^2+6x} \right) = -x^2-3x-10 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 5x^2 & -9x & -10 \\ \color{blue}{ + } & -6x^2 & 6x & \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 5x^2 & -9x & -10 \\ \color{blue}{ + } & -6x^2 & 6x & \\ \hline & -x^2 & -3x & -10 \end{array} $$This page was created using
Polynomial Operations Calculator