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