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