Find the GCF.
-$$- x ^ { 2 } , - 2 x , - 4 x ^ { 5 }$$
A) $- x ^ { 2 }$
B) $- 2 x$
C) $- x$
D) $- 2 x ^ { 2 }$

Question

Quizplus · Accepted Answer

The greatest common factor of these terms is the largest factor that divides each of the terms.
- x is a factor of all three terms (since they all include x)
However, - x is not the largest factor that they all share. To see that, we need to look at the exponents:
- x^2 = (-x)(x)
- 2x = (-x)(2)
- 4x^5 = (-x)(4x^4)
So, the common factor of all three terms is -x. Thus, the answer is choice C.

Find the GCF −x2,−2x,−4x5- x ^ { 2 } , - 2 x , - 4 x ^ { 5 }−x2,−2x,−4x5

Find the GCF $- x ^ { 2 } , - 2 x , - 4 x ^ { 5 }$