Answer
$(y+10)(y+7)$
Work Step by Step
$y^2+17y+70$ has no common monomial factor
$=(\ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ )$
$=(y\ \ \ \ \ \ )(y\ \ \ \ \ \ )$
$=(y+\ )(y+\ )$ All signs in the trinomial are positive.
$=(y+10)(y+7)$ 10 and 7 have a sum of 17 and a product of 70.