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