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