Add $ \, \color{blue}{ 10x^2+4x-22 } \, $ and $ \, \color{orangered}{ 7x^2-5x+18 }$.
Answer
$$ \left( \color{blue}{10x^2+4x-22} \right) + \left( \color{orangered}{7x^2-5x+18} \right) = 17x^2-x-4 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 10x^2 & 4x & -22 \\ \color{blue}{ + } & 7x^2 & -5x & 18 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 10x^2 & 4x & -22 \\ \color{blue}{ + } & 7x^2 & -5x & 18 \\ \hline & 17x^2 & -x & -4 \end{array} $$This page was created using
Polynomial Operations Calculator