Answer:
(x-2) is the other factor.
Step-by-step explanation:
IN order to solve this you just need to divide the polynomial by the factor that you are given:
[tex]\frac{3x^2-10x+8}{3x-4}\\\\3x^2/3x=x\\+8/-4=-2\\[/tex]
So by separating the two terms we can find two terms that when mutiplied with the original factor will give as result the polynomial, let´s test that theory:
[tex](3x-4)(x-2)\\(3x*x)+(3x*-2)+(-4*x)+(-2*-4)\\3x^2-6x-4x+8\\3x^2-10x+8[/tex]
As you can see the result of the mutiplication is the sasme polynomial, so the answer is correct, the other factor would be (x-2)
