Answer
$(y-5)(y-7)$
Work Step by Step
$y^2-12y+35$ has no common monomial factors.
=$(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$
=$(y\ \ \ \ \ \ \ )(y\ \ \ \ \ \ \ )$
=$(y-\ \ )(y-\ \ )$ Since the 2nd term is negative and the 3rd is positive, both factors of 35 must be negative.
=$(y-5)(y-7)$ -5 and -7 have a sum of -12 and a product of 35.
