Answer
$(x-3)(5x-1)$
Work Step by Step
$5x^{2}-16x+3=$
... ... Searching for two factors of $ac=+15$ whose sum is $b=-16,$
we find$\qquad-15$ and $-1.$
Rewrite the middle term and factor in pairs:
$=5x^{2}-15x-x+3=$
$=5x(x-3)-(x-3)$
= $(x-3)(5x-1)$