Add $ \, \color{blue}{ 3x-4 } \, $ and $ \, \color{orangered}{ 5+3x-4x^2 }$.

$$ \left( \color{blue}{3x-4} \right) + \left( \color{orangered}{5+3x-4x^2} \right) = -4x^2+6x+1 $$

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

$$ \begin{aligned} P(x) &= 3x-4 \\ Q(x) &= -4x^2+3x+5 \\ \end{aligned} $$

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

$$ \begin{array}{lrrr} & & 3x & -4 \\ \color{blue}{ + } & -4x^2 & 3x & 5 \\ \hline \end{array} $$

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

$$ \begin{array}{lrrr} & & 3x & -4 \\ \color{blue}{ + } & -4x^2 & 3x & 5 \\ \hline & -4x^2 & 6x & 1 \end{array} $$

Polynomial Operations Calculator