Add $ \, \color{blue}{ -q+4 } \, $ and $ \, \color{orangered}{ 7q^3-4q^2+8q+5 }$.
Answer
$$ \left( \color{blue}{-q+4} \right) + \left( \color{orangered}{7q^3-4q^2+8q+5} \right) = 7q^3-4q^2+7q+9 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & & & -q & 4 \\ \color{blue}{ + } & 7q^3 & -4q^2 & 8q & 5 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & & & -q & 4 \\ \color{blue}{ + } & 7q^3 & -4q^2 & 8q & 5 \\ \hline & 7q^3 & -4q^2 & 7q & 9 \end{array} $$This page was created using
Polynomial Operations Calculator