Question
Add $ \, \color{blue}{ 2x^3-x+4 } \, $ and $ \, \color{orangered}{ 5x^2-6x-5 }$.
Answer
$$ \left( \color{blue}{2x^3-x+4} \right) + \left( \color{orangered}{5x^2-6x-5} \right) = 2x^3+5x^2-7x-1 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 2x^3 & & -x & 4 \\ \color{blue}{ + } & & 5x^2 & -6x & -5 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 2x^3 & & -x & 4 \\ \color{blue}{ + } & & 5x^2 & -6x & -5 \\ \hline & 2x^3 & 5x^2 & -7x & -1 \end{array} $$This page was created using
Polynomial Operations Calculator