Question
Add $ \, \color{blue}{ 6p+8+7p^4-5p^3 } \, $ and $ \, \color{orangered}{ 7p^4-2p^2+3p^3-6p }$.
Answer
$$ \left( \color{blue}{6p+8+7p^4-5p^3} \right) + \left( \color{orangered}{7p^4-2p^2+3p^3-6p} \right) = 14p^4-2p^3-2p^2+8 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 7p^4-5p^3+6p+8 \\ Q(x) &= 7p^4+3p^3-2p^2-6p \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrrr} & 7p^4 & -5p^3 & & 6p & 8 \\ \color{blue}{ + } & 7p^4 & 3p^3 & -2p^2 & -6p & \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrrr} & 7p^4 & -5p^3 & & 6p & 8 \\ \color{blue}{ + } & 7p^4 & 3p^3 & -2p^2 & -6p & \\ \hline & 14p^4 & -2p^3 & -2p^2 & & 8 \end{array} $$This page was created using
Polynomial Operations Calculator