Question
Add $ \, \color{blue}{ 5x^3-9x^2-42x-9 } \, $ and $ \, \color{orangered}{ x-4 }$.
Answer
$$ \left( \color{blue}{5x^3-9x^2-42x-9} \right) + \left( \color{orangered}{x-4} \right) = 5x^3-9x^2-41x-13 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 5x^3 & -9x^2 & -42x & -9 \\ \color{blue}{ + } & & & x & -4 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 5x^3 & -9x^2 & -42x & -9 \\ \color{blue}{ + } & & & x & -4 \\ \hline & 5x^3 & -9x^2 & -41x & -13 \end{array} $$This page was created using
Polynomial Operations Calculator