Answer
$$2(2x-1)(x-1).$$
Work Step by Step
For the polynomial
$$
4x^2-6x+2=2(2x^2-3x+1)
$$
we check the factors of $ac=1(2)=2$. The only factors that can give the right middle term are $-1$ and $-2$, as follows
$$4x^2-6x+2=2(2x^2-3x+1)=2(2x-1)(x-1).$$
