Add $ \, \color{blue}{ 6x-x^2+8-7x+3x^2 } \, $ and $ \, \color{orangered}{ -x+2x^2+8 }$.

$$ \left( \color{blue}{6x-x^2+8-7x+3x^2} \right) + \left( \color{orangered}{-x+2x^2+8} \right) = 4x^2-2x+16 $$

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

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

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

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

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

$$ \begin{array}{lrrr} & 2x^2 & -x & 8 \\ \color{blue}{ + } & 2x^2 & -x & 8 \\ \hline & 4x^2 & -2x & 16 \end{array} $$

Polynomial Operations Calculator