Determine the greatest common factor for the group of terms.
-(x + 4)(x + 7), (x + 4)(x - 5)
A) (x - 140)
B) (x + 4)(x + 7)(x - 5)
C) (x + 4)
D) (x + 7)(x - 5)

Question

Quizplus · Accepted Answer

Both terms have a common factor of (x + 4), so we can factor it out to get:
(x + 4)(x + 7), (x + 4)(x - 5)
Then we can see that the only common factor remaining is (x + 4), so our answer is (x + 4). The greatest common factor is the factor that is common to both terms. In this case, the common factor is (x + 4). Therefore, the answer is choice C.

Determine the Greatest Common Factor for the Group of Terms