Question
Add $ \, \color{blue}{ 3x^2+3x-5 } \, $ and $ \, \color{orangered}{ 8x^2+7x-5 }$.
Answer
$$ \left( \color{blue}{3x^2+3x-5} \right) + \left( \color{orangered}{8x^2+7x-5} \right) = 11x^2+10x-10 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 3x^2 & 3x & -5 \\ \color{blue}{ + } & 8x^2 & 7x & -5 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 3x^2 & 3x & -5 \\ \color{blue}{ + } & 8x^2 & 7x & -5 \\ \hline & 11x^2 & 10x & -10 \end{array} $$This page was created using
Polynomial Operations Calculator