### Home > INT3 > Chapter 9 > Lesson 9.1.4 > Problem 9-49

9-49.

Consider the polynomial

*x*^{4}– 6*x*^{3}– 6*x*^{2}+ 6*x*– 7. Homework Help ✎Using only integers, list all of 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 Rational Zeros 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.