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