Answer
For a trinomial of the form $ax^{2}+bx+c,$
$3x^{2}+10x+8$=
we search for factors of $ac=24$ whose sum is $b=10$ and we find $+6$ and $+4$, so we rewrite the $bx $ term and factor in pairs
$=3x^{2}+6x+4x+8$
$=3x(x+2)+4(x+2)$
$=(x+2)(3x+4)$
Work Step by Step
Given above.