Question
Add $ \, \color{blue}{ 3x^3-5x^2+4x-7 } \, $ and $ \, \color{orangered}{ x^2+4x-21 }$.
Answer
$$ \left( \color{blue}{3x^3-5x^2+4x-7} \right) + \left( \color{orangered}{x^2+4x-21} \right) = 3x^3-4x^2+8x-28 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 3x^3 & -5x^2 & 4x & -7 \\ \color{blue}{ + } & & x^2 & 4x & -21 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 3x^3 & -5x^2 & 4x & -7 \\ \color{blue}{ + } & & x^2 & 4x & -21 \\ \hline & 3x^3 & -4x^2 & 8x & -28 \end{array} $$This page was created using
Polynomial Operations Calculator