Consider the polynomial $x^4 - 6x^3 - 6x^2 + 6x - 7$.

1. Using only integers, list all the possible linear factors.

   Hint (a):

   Use the Integral Zero Theorem found in the Math Notes box in Lesson 8.3.2. There are $4$ answers!

2. Is $(x +1)$ a factor of the polynomial? Is $(x - 1)$ a factor? Show how you know without graphing.

   Hint (b):

   Long divide each of the factors into the polynomial. If you have no remainder, then it was a factor of the polynomial.