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

$$ \begin{aligned} P(x) &= 7x^2+10x-3 \\ Q(x) &= x^3-2x+17 \\ \end{aligned} $$

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

$$ \begin{array}{lrrrr} & & 7x^2 & 10x & -3 \\ \color{blue}{ + } & x^3 & & -2x & 17 \\ \hline \end{array} $$

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

$$ \begin{array}{lrrrr} & & 7x^2 & 10x & -3 \\ \color{blue}{ + } & x^3 & & -2x & 17 \\ \hline & x^3 & 7x^2 & 8x & 14 \end{array} $$

Polynomial Operations Calculator