### Home > CCA2 > Chapter 9 > Lesson 9.1.1 > Problem 9-9

9-9.

Consider the polynomial

*x*^{4}− 6*x*^{3}− 6*x*^{2}+ 6*x*− 7. Homework Help ✎Using only integers, list all the possible linear factors.

Is (

*x*+1) a factor of the polynomial? Is (*x*− 1) a factor? Show how you know without graphing.

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

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