Add $ \, \color{blue}{ -2x^4+5x^3-2x+33 } \, $ and $ \, \color{orangered}{ x-3 }$.
Answer
$$ \left( \color{blue}{-2x^4+5x^3-2x+33} \right) + \left( \color{orangered}{x-3} \right) = -2x^4+5x^3-x+30 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & -2x^4 & 5x^3 & -2x & 33 \\ \color{blue}{ + } & & & x & -3 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & -2x^4 & 5x^3 & -2x & 33 \\ \color{blue}{ + } & & & x & -3 \\ \hline & -2x^4 & 5x^3 & -x & 30 \end{array} $$This page was created using
Polynomial Operations Calculator