Add $ \, \color{blue}{ x^3-x^2-2x-12 } \, $ and $ \, \color{orangered}{ 2x+5 }$.
Answer
$$ \left( \color{blue}{x^3-x^2-2x-12} \right) + \left( \color{orangered}{2x+5} \right) = x^3-x^2-7 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & x^3 & -x^2 & -2x & -12 \\ \color{blue}{ + } & & & 2x & 5 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & x^3 & -x^2 & -2x & -12 \\ \color{blue}{ + } & & & 2x & 5 \\ \hline & x^3 & -x^2 & & -7 \end{array} $$This page was created using
Polynomial Operations Calculator