Chapter 5 - Polynomials and Factoring - 5.2 Factoring Trinomials of the Type x2+bx+c - 5.2 Exercise Set - Page 317: 71

Answers vary. An example is below.

While there are many reasons to use products instead of sums, the main reason is that there are much fewer correct products than there are correct sums, so it is easier for us to sort through the correct products.