Question
Add $ \, \color{blue}{ 3x^2-8x^3-3 } \, $ and $ \, \color{orangered}{ 5x^2-6-5x^3 }$.
Answer
$$ \left( \color{blue}{3x^2-8x^3-3} \right) + \left( \color{orangered}{5x^2-6-5x^3} \right) = -13x^3+8x^2-9 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= -8x^3+3x^2-3 \\ Q(x) &= -5x^3+5x^2-6 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -8x^3 & 3x^2 & -3 \\ \color{blue}{ + } & -5x^3 & 5x^2 & -6 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -8x^3 & 3x^2 & -3 \\ \color{blue}{ + } & -5x^3 & 5x^2 & -6 \\ \hline & -13x^3 & 8x^2 & -9 \end{array} $$This page was created using
Polynomial Operations Calculator