Question
Add $ \, \color{blue}{ 3q^4+3q^3+7q^2+q+9 } \, $ and $ \, \color{orangered}{ 3q^4+q^3+5q^2+q+7 }$.
Answer
$$ \left( \color{blue}{3q^4+3q^3+7q^2+q+9} \right) + \left( \color{orangered}{3q^4+q^3+5q^2+q+7} \right) = 6q^4+4q^3+12q^2+2q+16 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrrr} & 3q^4 & 3q^3 & 7q^2 & q & 9 \\ \color{blue}{ + } & 3q^4 & q^3 & 5q^2 & q & 7 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrrr} & 3q^4 & 3q^3 & 7q^2 & q & 9 \\ \color{blue}{ + } & 3q^4 & q^3 & 5q^2 & q & 7 \\ \hline & 6q^4 & 4q^3 & 12q^2 & 2q & 16 \end{array} $$This page was created using
Polynomial Operations Calculator