Add $ \, \color{blue}{ 3x^4-3x } \, $ and $ \, \color{orangered}{ 3x-3x^4 }$.

$$ \left( \color{blue}{3x^4-3x} \right) + \left( \color{orangered}{3x-3x^4} \right) = 0 $$

Step 1: First we have to write polynomials in descending order.

$$ \begin{aligned} P(x) &= 3x^4-3x \\ Q(x) &= -3x^4+3x \\ \end{aligned} $$

Step 2: Write second polynomial below the first one. Making sure like terms are lined up.

$$ \begin{array}{lrrr} & 3x^4 & -3x & \\ \color{blue}{ + } & -3x^4 & 3x & \\ \hline \end{array} $$

Step 3: Combine like terms (add each column):

$$ \begin{array}{lrrr} & 3x^4 & -3x & \\ \color{blue}{ + } & -3x^4 & 3x & \\ \hline & & & 0 \end{array} $$

Polynomial Operations Calculator