Question
Add $ \, \color{blue}{ -5x^3+4x^2-8x+9 } \, $ and $ \, \color{orangered}{ 10x^3+10x^2-6x-3 }$.
Answer
$$ \left( \color{blue}{-5x^3+4x^2-8x+9} \right) + \left( \color{orangered}{10x^3+10x^2-6x-3} \right) = 5x^3+14x^2-14x+6 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & -5x^3 & 4x^2 & -8x & 9 \\ \color{blue}{ + } & 10x^3 & 10x^2 & -6x & -3 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & -5x^3 & 4x^2 & -8x & 9 \\ \color{blue}{ + } & 10x^3 & 10x^2 & -6x & -3 \\ \hline & 5x^3 & 14x^2 & -14x & 6 \end{array} $$This page was created using
Polynomial Operations Calculator