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