Final answer:
The roots of the polynomial (x - 1)(x - 7) are found by setting each factor equal to zero, which yields the solutions x = 1 and x = 7.
Step-by-step explanation:
To find the roots of the factored polynomial (x - 1)(x - 7), you set each factor equal to zero and solve for x. When you do this for the first factor, x - 1 = 0, you get x = 1. Similarly, setting the second factor to zero, x - 7 = 0, gives you x = 7. Therefore, the roots of the polynomial are x = 1 and x = 7.