Question
Add $ \, \color{blue}{ -t^4-5t^3-10t^2 } \, $ and $ \, \color{orangered}{ 9t^3+3t^2-1 }$.
Answer
$$ \left( \color{blue}{-t^4-5t^3-10t^2} \right) + \left( \color{orangered}{9t^3+3t^2-1} \right) = -t^4+4t^3-7t^2-1 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & -t^4 & -5t^3 & -10t^2 & \\ \color{blue}{ + } & & 9t^3 & 3t^2 & -1 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & -t^4 & -5t^3 & -10t^2 & \\ \color{blue}{ + } & & 9t^3 & 3t^2 & -1 \\ \hline & -t^4 & 4t^3 & -7t^2 & -1 \end{array} $$This page was created using
Polynomial Operations Calculator