Question
Add $ \, \color{blue}{ 3x^2-6x^4+5-6x } \, $ and $ \, \color{orangered}{ 5x^4-6x^3+4x }$.
Answer
$$ \left( \color{blue}{3x^2-6x^4+5-6x} \right) + \left( \color{orangered}{5x^4-6x^3+4x} \right) = -x^4-6x^3+3x^2-2x+5 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= -6x^4+3x^2-6x+5 \\ Q(x) &= 5x^4-6x^3+4x \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrrr} & -6x^4 & & 3x^2 & -6x & 5 \\ \color{blue}{ + } & 5x^4 & -6x^3 & & 4x & \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrrr} & -6x^4 & & 3x^2 & -6x & 5 \\ \color{blue}{ + } & 5x^4 & -6x^3 & & 4x & \\ \hline & -x^4 & -6x^3 & 3x^2 & -2x & 5 \end{array} $$This page was created using
Polynomial Operations Calculator