Question
Add $ \, \color{blue}{ 2x^2+6x+12 } \, $ and $ \, \color{orangered}{ -2x^3+7x+6 }$.
Answer
$$ \left( \color{blue}{2x^2+6x+12} \right) + \left( \color{orangered}{-2x^3+7x+6} \right) = -2x^3+2x^2+13x+18 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & & 2x^2 & 6x & 12 \\ \color{blue}{ + } & -2x^3 & & 7x & 6 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & & 2x^2 & 6x & 12 \\ \color{blue}{ + } & -2x^3 & & 7x & 6 \\ \hline & -2x^3 & 2x^2 & 13x & 18 \end{array} $$This page was created using
Polynomial Operations Calculator