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