Add $ \, \color{blue}{ 6+4x^2-11x } \, $ and $ \, \color{orangered}{ 6x^2-9-7x }$.

$$ \left( \color{blue}{6+4x^2-11x} \right) + \left( \color{orangered}{6x^2-9-7x} \right) = 10x^2-18x-3 $$

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

$$ \begin{aligned} P(x) &= 4x^2-11x+6 \\ Q(x) &= 6x^2-7x-9 \\ \end{aligned} $$

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

$$ \begin{array}{lrrr} & 4x^2 & -11x & 6 \\ \color{blue}{ + } & 6x^2 & -7x & -9 \\ \hline \end{array} $$

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

$$ \begin{array}{lrrr} & 4x^2 & -11x & 6 \\ \color{blue}{ + } & 6x^2 & -7x & -9 \\ \hline & 10x^2 & -18x & -3 \end{array} $$

Polynomial Operations Calculator