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