Question
Add $ \, \color{blue}{ 9x^6-4x^5 } \, $ and $ \, \color{orangered}{ 10x^5-15x^4+14 }$.
Answer
$$ \left( \color{blue}{9x^6-4x^5} \right) + \left( \color{orangered}{10x^5-15x^4+14} \right) = 9x^6+6x^5-15x^4+14 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 9x^6 & -4x^5 & & \\ \color{blue}{ + } & & 10x^5 & -15x^4 & 14 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 9x^6 & -4x^5 & & \\ \color{blue}{ + } & & 10x^5 & -15x^4 & 14 \\ \hline & 9x^6 & 6x^5 & -15x^4 & 14 \end{array} $$This page was created using
Polynomial Operations Calculator