Answer
$(x-4)(3x-2)$
Work Step by Step
First, for the polynomial $3x^2 - 14x + 8$, we write
$$
3x^2- 14x + 8=3x^2 -12x -2x+8
.$$
By grouping the first two terms and the second two terms and then taking common factors, we have
$$
3x^2 -12x -2x+8=3x(x-4)-2(x-4)=(x-4)(3x-2)
.$$