Question
Add $ \, \color{blue}{ -6x^3-9x^2-10x+6 } \, $ and $ \, \color{orangered}{ 8x^4-5x^3+4x^2+9x+3 }$.
Answer
$$ \left( \color{blue}{-6x^3-9x^2-10x+6} \right) + \left( \color{orangered}{8x^4-5x^3+4x^2+9x+3} \right) = 8x^4-11x^3-5x^2-x+9 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrrr} & & -6x^3 & -9x^2 & -10x & 6 \\ \color{blue}{ + } & 8x^4 & -5x^3 & 4x^2 & 9x & 3 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrrr} & & -6x^3 & -9x^2 & -10x & 6 \\ \color{blue}{ + } & 8x^4 & -5x^3 & 4x^2 & 9x & 3 \\ \hline & 8x^4 & -11x^3 & -5x^2 & -x & 9 \end{array} $$This page was created using
Polynomial Operations Calculator