Question
Add $ \, \color{blue}{ -11x^3+8x^2+6x+9 } \, $ and $ \, \color{orangered}{ 4x^3-4x^2-6 }$.
Answer
$$ \left( \color{blue}{-11x^3+8x^2+6x+9} \right) + \left( \color{orangered}{4x^3-4x^2-6} \right) = -7x^3+4x^2+6x+3 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & -11x^3 & 8x^2 & 6x & 9 \\ \color{blue}{ + } & 4x^3 & -4x^2 & & -6 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & -11x^3 & 8x^2 & 6x & 9 \\ \color{blue}{ + } & 4x^3 & -4x^2 & & -6 \\ \hline & -7x^3 & 4x^2 & 6x & 3 \end{array} $$This page was created using
Polynomial Operations Calculator