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