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