Question
Add $ \, \color{blue}{ 5x^2+4x-2 } \, $ and $ \, \color{orangered}{ -7x^2-9x+12 }$.
Answer
$$ \left( \color{blue}{5x^2+4x-2} \right) + \left( \color{orangered}{-7x^2-9x+12} \right) = -2x^2-5x+10 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 5x^2 & 4x & -2 \\ \color{blue}{ + } & -7x^2 & -9x & 12 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 5x^2 & 4x & -2 \\ \color{blue}{ + } & -7x^2 & -9x & 12 \\ \hline & -2x^2 & -5x & 10 \end{array} $$This page was created using
Polynomial Operations Calculator