Add $ \, \color{blue}{ 3+8x+11x^2+7x^3 } \, $ and $ \, \color{orangered}{ 190x+6x^20x^3 }$.

$$ \left( \color{blue}{3+8x+11x^2+7x^3} \right) + \left( \color{orangered}{190x+6x^20x^3} \right) = 7x^3+17x^2+8x+22 $$

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

$$ \begin{aligned} P(x) &= 7x^3+11x^2+8x+3 \\ Q(x) &= 6x^2+19 \\ \end{aligned} $$

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

$$ \begin{array}{lrrrr} & 7x^3 & 11x^2 & 8x & 3 \\ \color{blue}{ + } & & 6x^2 & & 19 \\ \hline \end{array} $$

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

$$ \begin{array}{lrrrr} & 7x^3 & 11x^2 & 8x & 3 \\ \color{blue}{ + } & & 6x^2 & & 19 \\ \hline & 7x^3 & 17x^2 & 8x & 22 \end{array} $$

Polynomial Operations Calculator