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