The roots are real, equal, and rational.
III. To form the quadratic equation when the roots are given.
Suppose the roots are 3, -7.
| Then, | ![]() | Or, | ![]() |
![]() | ![]() | ||
| Multiplying to get a quadratic, | ![]() | ||
Or,
Or, use the sum and product idea developed on the [preceding page]. The coefficient of
must be unity.




