Question
Add $ \, \color{blue}{ -5x^3+10x^2-3x+9 } \, $ and $ \, \color{orangered}{ -4x^3+6x^2+4x+1 }$.
Answer
$$ \left( \color{blue}{-5x^3+10x^2-3x+9} \right) + \left( \color{orangered}{-4x^3+6x^2+4x+1} \right) = -9x^3+16x^2+x+10 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & -5x^3 & 10x^2 & -3x & 9 \\ \color{blue}{ + } & -4x^3 & 6x^2 & 4x & 1 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & -5x^3 & 10x^2 & -3x & 9 \\ \color{blue}{ + } & -4x^3 & 6x^2 & 4x & 1 \\ \hline & -9x^3 & 16x^2 & x & 10 \end{array} $$This page was created using
Polynomial Operations Calculator