Question

What is the GCF of 2x4 and 4x2 a) 2x^2. B) 2x^4. C) 4x^2

Answer 1

Answer:

$a)\ \ \ 2x^2$

Step-by-step explanation:

-Greatest common factor is defined as the greatest positive that divides a set of whole numbers evenly and without a remainder.

-Given the set $2x^4\ \ and \ \ 4x^2$

we notice, that the GCF can't be an integer with the power of x greater than 2:

$=>\frac{2x^4}{2x^2}=x^2\\\\=>\frac{4x^2}{2x^2}=2\\\\GCF= 2x^2$

Since, there's no other positive integer than can evenly divide the set of quotients, the GCF is $2x^2$