Question
Add $ \, \color{blue}{ -7x^5+14-2x } \, $ and $ \, \color{orangered}{ 10x^4+7x+5x^5 }$.
Answer
$$ \left( \color{blue}{-7x^5+14-2x} \right) + \left( \color{orangered}{10x^4+7x+5x^5} \right) = -2x^5+10x^4+5x+14 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= -7x^5-2x+14 \\ Q(x) &= 5x^5+10x^4+7x \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & -7x^5 & & -2x & 14 \\ \color{blue}{ + } & 5x^5 & 10x^4 & 7x & \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & -7x^5 & & -2x & 14 \\ \color{blue}{ + } & 5x^5 & 10x^4 & 7x & \\ \hline & -2x^5 & 10x^4 & 5x & 14 \end{array} $$This page was created using
Polynomial Operations Calculator