Add $ \, \color{blue}{ 3x^4-5x+2 } \, $ and $ \, \color{orangered}{ 4x^2-6x-2 }$.
Answer
$$ \left( \color{blue}{3x^4-5x+2} \right) + \left( \color{orangered}{4x^2-6x-2} \right) = 3x^4+4x^2-11x $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 3x^4 & & -5x & 2 \\ \color{blue}{ + } & & 4x^2 & -6x & -2 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 3x^4 & & -5x & 2 \\ \color{blue}{ + } & & 4x^2 & -6x & -2 \\ \hline & 3x^4 & 4x^2 & -11x & \end{array} $$This page was created using
Polynomial Operations Calculator