Add $ \, \color{blue}{ 4x^3+6x^2+2x } \, $ and $ \, \color{orangered}{ 3x^3+3x^2-5x-5 }$.
Answer
$$ \left( \color{blue}{4x^3+6x^2+2x} \right) + \left( \color{orangered}{3x^3+3x^2-5x-5} \right) = 7x^3+9x^2-3x-5 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 4x^3 & 6x^2 & 2x & \\ \color{blue}{ + } & 3x^3 & 3x^2 & -5x & -5 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 4x^3 & 6x^2 & 2x & \\ \color{blue}{ + } & 3x^3 & 3x^2 & -5x & -5 \\ \hline & 7x^3 & 9x^2 & -3x & -5 \end{array} $$This page was created using
Polynomial Operations Calculator