Answer:
See explanation.
Step-by-step explanation:
First put 2x-4 equal to 0 and solve it.
2x-4=0
2x=4
x=2
Now plug 2 into the polynomial and see if it equals to 0
In case it's not, then it is not a factor of it
2(2)^5 - 4(2)^4 + 2x^2 -2(2) - 4 = 0
So it's indeed a factor of the polynomial.
Hope this helps!