Respuesta :

For this case we have the following polynomial:
 8x4 -12x3 + 20x2
 We observe that the polynomial has 4x2 as a common factor.
 Answer:
 
The biggest common factor for this case is given by:
 
4x2
 
option A
The greatest common factor is such a term that can be factored out from each term of the expression leaving behind no common element between the terms. If you observe the given expression, you will see that the greatest common factor is 4x². Taking 4x² out as common will factorize the equation as:

[tex]8 x^{4}-12 x^{3}+20 x^{2} \\ \\ =4 x^{2} (2 x^{2} -3x+5) [/tex]

So the answer to this question is option A