Question
Add $ \, \color{blue}{ -5x^2+4x-2 } \, $ and $ \, \color{orangered}{ -8x^2+2x+1 }$.
Answer
$$ \left( \color{blue}{-5x^2+4x-2} \right) + \left( \color{orangered}{-8x^2+2x+1} \right) = -13x^2+6x-1 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -5x^2 & 4x & -2 \\ \color{blue}{ + } & -8x^2 & 2x & 1 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -5x^2 & 4x & -2 \\ \color{blue}{ + } & -8x^2 & 2x & 1 \\ \hline & -13x^2 & 6x & -1 \end{array} $$This page was created using
Polynomial Operations Calculator