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