Factoring Quadratics with a Coefficient of One

The following applet randomly generates quadratic functions with a coefficient of one to be factored. After you have factored the quadratic on your own, you may check the factors by checking the "Check Factor" box. New problems can be generated only after the "Check Factor" box is unchecked.
After completing the specific examples, please generalize your findings of ax^2 + bx + c, with a =1. What patterns do you notice between the b value and the c value?