To find the roots, we need the values of x that make the equation equal to zero. Here the quadratic is x^2 + 7x - 8 = 0. Look for two numbers whose product is -8 and whose sum is 7. Those numbers help us factor the expression, so each factor is set equal to zero. Solving the two simple equations gives x = 1 and -8. Therefore, the correct answer is 1 and -8.