Question
Add $ \, \color{blue}{ -5x^2+x-8 } \, $ and $ \, \color{orangered}{ -3x^2+5x-2 }$.
Answer
$$ \left( \color{blue}{-5x^2+x-8} \right) + \left( \color{orangered}{-3x^2+5x-2} \right) = -8x^2+6x-10 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -5x^2 & x & -8 \\ \color{blue}{ + } & -3x^2 & 5x & -2 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -5x^2 & x & -8 \\ \color{blue}{ + } & -3x^2 & 5x & -2 \\ \hline & -8x^2 & 6x & -10 \end{array} $$This page was created using
Polynomial Operations Calculator