Add $ \, \color{blue}{ -5x^2-x+4 } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$.
Answer
$$ \left( \color{blue}{-5x^2-x+4} \right) + \left( \color{orangered}{-3x^2-5x+2} \right) = -8x^2-6x+6 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -5x^2 & -x & 4 \\ \color{blue}{ + } & -3x^2 & -5x & 2 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -5x^2 & -x & 4 \\ \color{blue}{ + } & -3x^2 & -5x & 2 \\ \hline & -8x^2 & -6x & 6 \end{array} $$This page was created using
Polynomial Operations Calculator