Question
Add $ \, \color{blue}{ 4x^3-12x } \, $ and $ \, \color{orangered}{ -6x+12x^3-3 }$.
Answer
$$ \left( \color{blue}{4x^3-12x} \right) + \left( \color{orangered}{-6x+12x^3-3} \right) = 16x^3-18x-3 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 4x^3-12x \\ Q(x) &= 12x^3-6x-3 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 4x^3 & -12x & \\ \color{blue}{ + } & 12x^3 & -6x & -3 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 4x^3 & -12x & \\ \color{blue}{ + } & 12x^3 & -6x & -3 \\ \hline & 16x^3 & -18x & -3 \end{array} $$This page was created using
Polynomial Operations Calculator