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