Question
Add $ \, \color{blue}{ 5x^2-x+5 } \, $ and $ \, \color{orangered}{ 4x^2+9x-7 }$.
Answer
$$ \left( \color{blue}{5x^2-x+5} \right) + \left( \color{orangered}{4x^2+9x-7} \right) = 9x^2+8x-2 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 5x^2 & -x & 5 \\ \color{blue}{ + } & 4x^2 & 9x & -7 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 5x^2 & -x & 5 \\ \color{blue}{ + } & 4x^2 & 9x & -7 \\ \hline & 9x^2 & 8x & -2 \end{array} $$This page was created using
Polynomial Operations Calculator