Answer
$(x+2)(3x+4)$
Work Step by Step
First, for the polynomial $3x^2 + 10x + 8$, we write
$$
3x^2 + 10x + 8=3x^2 + 6x +4x+ 8
.$$
By grouping the first two terms and the second two terms and then taking common factors, we have
$$
3x^2 + 6x +4x+ 8=3x(x+2)+4(x+2)=(x+2)(3x+4)
.$$
