Add $ \, \color{blue}{ 8+5x^2+x } \, $ and $ \, \color{orangered}{ 2+6x^2 }$.

$$ \left( \color{blue}{8+5x^2+x} \right) + \left( \color{orangered}{2+6x^2} \right) = 11x^2+x+10 $$

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

$$ \begin{aligned} P(x) &= 5x^2+x+8 \\ Q(x) &= 6x^2+2 \\ \end{aligned} $$

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

$$ \begin{array}{lrrr} & 5x^2 & x & 8 \\ \color{blue}{ + } & 6x^2 & & 2 \\ \hline \end{array} $$

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

$$ \begin{array}{lrrr} & 5x^2 & x & 8 \\ \color{blue}{ + } & 6x^2 & & 2 \\ \hline & 11x^2 & x & 10 \end{array} $$

Polynomial Operations Calculator