Answer
$(3x-2)(5x-3)$
Work Step by Step
$15x^{2}-19x+6=$
two factors of $ac=+90$ whose sum is $b=-19$ are $-10$ and $-9.$
Rewrite the middle term and factor in pairs.
$15x^{2}-19x+6=15x^{2}-10x-9x+6=$
$=5x(3x-2)-3(3x-2)$
$=(3x-2)(5x-3)$