Add $ \, \color{blue}{ -x^2+x-4 } \, $ and $ \, \color{orangered}{ 3x^2-8x-2 }$.
Answer
$$ \left( \color{blue}{-x^2+x-4} \right) + \left( \color{orangered}{3x^2-8x-2} \right) = 2x^2-7x-6 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -x^2 & x & -4 \\ \color{blue}{ + } & 3x^2 & -8x & -2 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -x^2 & x & -4 \\ \color{blue}{ + } & 3x^2 & -8x & -2 \\ \hline & 2x^2 & -7x & -6 \end{array} $$This page was created using
Polynomial Operations Calculator