Question

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

Answer 1

`a)\ \ \ 2x^2`

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:

`=>(2x^4)/(2x^2)=x^2\\\\=>(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`