Add $ \, \color{blue}{ -x^5+2x^4+2x^3+3x^2-x-2 } \, $ and $ \, \color{orangered}{ 8x^3-x^2+9x+1 }$.
Answer
$$ \left( \color{blue}{-x^5+2x^4+2x^3+3x^2-x-2} \right) + \left( \color{orangered}{8x^3-x^2+9x+1} \right) = -x^5+2x^4+10x^3+2x^2+8x-1 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrrrr} & -x^5 & 2x^4 & 2x^3 & 3x^2 & -x & -2 \\ \color{blue}{ + } & & & 8x^3 & -x^2 & 9x & 1 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrrrr} & -x^5 & 2x^4 & 2x^3 & 3x^2 & -x & -2 \\ \color{blue}{ + } & & & 8x^3 & -x^2 & 9x & 1 \\ \hline & -x^5 & 2x^4 & 10x^3 & 2x^2 & 8x & -1 \end{array} $$This page was created using
Polynomial Operations Calculator