Question
Add $ \, \color{blue}{ 8x^2-3x+9 } \, $ and $ \, \color{orangered}{ 4x^2+8x-2 }$.
Answer
$$ \left( \color{blue}{8x^2-3x+9} \right) + \left( \color{orangered}{4x^2+8x-2} \right) = 12x^2+5x+7 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 8x^2 & -3x & 9 \\ \color{blue}{ + } & 4x^2 & 8x & -2 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 8x^2 & -3x & 9 \\ \color{blue}{ + } & 4x^2 & 8x & -2 \\ \hline & 12x^2 & 5x & 7 \end{array} $$This page was created using
Polynomial Operations Calculator