Answer:
[tex]a)\ \ \ 2x^2[/tex]
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 [tex]2x^4\ \ and \ \ 4x^2[/tex]
we notice, that the GCF can't be an integer with the power of x greater than 2:
[tex]=>\frac{2x^4}{2x^2}=x^2\\\\=>\frac{4x^2}{2x^2}=2\\\\GCF= 2x^2[/tex]
Since, there's no other positive integer than can evenly divide the set of quotients, the GCF is [tex]2x^2[/tex]
