Question
Add $ \, \color{blue}{ -2q^3+7q^2 } \, $ and $ \, \color{orangered}{ -q+8 }$.
Answer
$$ \left( \color{blue}{-2q^3+7q^2} \right) + \left( \color{orangered}{-q+8} \right) = -2q^3+7q^2-q+8 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & -2q^3 & 7q^2 & & \\ \color{blue}{ + } & & & -q & 8 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & -2q^3 & 7q^2 & & \\ \color{blue}{ + } & & & -q & 8 \\ \hline & -2q^3 & 7q^2 & -q & 8 \end{array} $$This page was created using
Polynomial Operations Calculator