Answer: x - 2
Step-by-step explanation:
HCF is more commonly referred to as GCF (greatest common factor)
Factor each expression to see which factor(s) they have in common.
[tex]x^4 - 8x\implies x(x^3-8)\\= x\boxed{(x-2)}(x^2+4x+4)\\\\\\3x^2-8x+4\implies 3x^2-6x-2x+4\implies3x(x-2)-2(x-2)\\=(3x-2)\boxed{(x-2)}\\\\\\2x^2-5x+2\implies 2x^2-4x-x+2\implies 2x(x-2)-1(x-2)\\=(2x-1)\boxed{(x-2)}[/tex]
The only factor that all three expressions have in common is: x - 2
