Question
Add $ \, \color{blue}{ 3x^3+2x^2-5x } \, $ and $ \, \color{orangered}{ 4x^2-7x+5 }$.
Answer
$$ \left( \color{blue}{3x^3+2x^2-5x} \right) + \left( \color{orangered}{4x^2-7x+5} \right) = 3x^3+6x^2-12x+5 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 3x^3 & 2x^2 & -5x & \\ \color{blue}{ + } & & 4x^2 & -7x & 5 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 3x^3 & 2x^2 & -5x & \\ \color{blue}{ + } & & 4x^2 & -7x & 5 \\ \hline & 3x^3 & 6x^2 & -12x & 5 \end{array} $$This page was created using
Polynomial Operations Calculator