Add $ \, \color{blue}{ x^2-7x+5 } \, $ and $ \, \color{orangered}{ -3x-x+10 }$.

$$ \left( \color{blue}{x^2-7x+5} \right) + \left( \color{orangered}{-3x-x+10} \right) = x^2-11x+15 $$

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

$$ \begin{aligned} P(x) &= x^2-7x+5 \\ Q(x) &= -4x+10 \\ \end{aligned} $$

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

$$ \begin{array}{lrrr} & x^2 & -7x & 5 \\ \color{blue}{ + } & & -4x & 10 \\ \hline \end{array} $$

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

$$ \begin{array}{lrrr} & x^2 & -7x & 5 \\ \color{blue}{ + } & & -4x & 10 \\ \hline & x^2 & -11x & 15 \end{array} $$

Polynomial Operations Calculator