Answer
$(x-2)(3x+4)$
Work Step by Step
First, for the polynomial $3x^2 - 2x - 8$, we write
$$
3x^2 - 2x - 8=3x^2 - 6x +4x- 8
.$$
By grouping the first two terms and the second two terms and then taking common factors, we have
$$
3x^2 - 6x +4x- 8=3x(x-2)+4(x-2)=(x-2)(3x+4)
.$$
