Question
Add $ \, \color{blue}{ 20v^2-9v^3 } \, $ and $ \, \color{orangered}{ 7v^3-10v^4-11v^2 }$.
Answer
$$ \left( \color{blue}{20v^2-9v^3} \right) + \left( \color{orangered}{7v^3-10v^4-11v^2} \right) = -10v^4-2v^3+9v^2 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= -9v^3+20v^2 \\ Q(x) &= -10v^4+7v^3-11v^2 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & & -9v^3 & 20v^2 \\ \color{blue}{ + } & -10v^4 & 7v^3 & -11v^2 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & & -9v^3 & 20v^2 \\ \color{blue}{ + } & -10v^4 & 7v^3 & -11v^2 \\ \hline & -10v^4 & -2v^3 & 9v^2 \end{array} $$This page was created using
Polynomial Operations Calculator